1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 3: The sum of the digits is a multiple of 3 4: The last 2 digits are a multiple of 4 The 10s digit is even and the last digit is 0, 4 or 8 The 10s digit is odd and the last digit is 2 or 6 5: The number ends in 0 or 5 6: The number is a multiple of 2 and 3 at the same time 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The last 3 digits are a multiple of 8 The 100s digit is even and the last 2 digits are a multiple of 8 The 100s digit is odd and the last 2 digits are 4 times an odd number 9: The sum of the digits is a multiple of 9 10: The number ends in 0 11: The difference between the last digit and the rest of the number is a multiple of 11 12: The number is a multiple of 3 and 4 at the same time 13: The sum of 4 times the last digit and the rest of the number is a multiple of 13 14: The number is a multiple of 2 and 7 at the same time 15: The number is a multiple of 3 and 5 at the same time 16: The last 4 digits are a multiple of 16 The 1,000s digit is even and the last 3 digits are a multiple of 16 The 1,000s digit is odd and the last 3 digits are 8 times an odd number 17: The difference between 5 times the last digit and the rest of the number is a multiple of 17 18: The number is a multiple of 2 and 9 at the same time 19: The sum of twice the last digit and the rest of the number is a multiple of 19 20: The number ends in 00, 20, 40, 60 or 80 21: The difference between twice the last digit and the rest of the number is a multiple of 21 22: The number is a multiple of 2 and 11 at the same time 23: The sum of 7 times the last digit and the rest of the number is a multiple of 23 24: The number is a multiple of 3 and 8 at the same time 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of 2 and 13 at the same time 27: The difference between 8 times the last digit and the rest of the number is a multiple of 27 28: The number is a multiple of 4 and 7 at the same time 29: The sum of thrice the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of 3 and 10 at the same time 31: The difference between thrice the last digit and the rest of the number is a multiple of 31 32: The last 5 digits are a multiple of 32 The 10,000s digit is even and the last 4 digits are a multiple of 32 The 10,000s digit is odd and the last 4 digits are 16 times an odd number 33: The sum of 10 times the last digit and the rest of the number is a multiple of 33 34: The number is a multiple of 2 and 17 at the same time 35: The number is a multiple of 5 and 7 at the same time 36: The number is a multiple of 4 and 9 at the same time 37: The difference between 11 times the last digit and the rest of the number is a multiple of 37 38: The number is a multiple of 2 and 19 at the same time 39: The sum of 4 times the last digit and the rest of the number is a multiple of 39 40: The last 3 digits are a multiple of 40 The 100s digit is even and the last 2 digits are 00, 40 or 80 The 100s digit is odd and the last 2 digits are 20 or 60 41: The difference between 4 times the last digit and the rest of the number is a multiple of 41 42: The number is a multiple of 2 and 21 at the same time 43: The sum of 13 times the last digit and the rest of the number is a multiple of 43 44: The number is a multiple of 4 and 11 at the same time 45: The number is a multiple of 5 and 9 at the same time 46: The number is a multiple of 2 and 23 at the same time 47: The difference between 14 times the last digit and the rest of the number is a multiple of 47 48: The number is a multiple of 3 and 16 at the same time 49: The sum of 5 times the last digit and the rest of the number is a multiple of 49 50: The number ends in 00 or 50
The divisibility rules of every number from 1 to 50 1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 3: The sum of the digits is a multiple of 3 4: The last 2 digits are a multiple of 4 The 10s digit is even and the last digit is 0, 4 or 8 The 10s digit is odd and the last digit is 2 or 6 5: The number ends in 0 or 5 6: The number is a multiple of 2 and 3 at the same time 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The last 3 digits are a multiple of 8 The 100s digit is even and the last 2 digits are a multiple of 8 The 100s digit is odd and the last 2 digits are 4 times an odd number 9: The sum of the digits is a multiple of 9 10: The number ends in 0 11: The difference between the last digit and the rest of the number is a multiple of 11 12: The number is a multiple of 3 and 4 at the same time 13: The sum of 4 times the last digit and the rest of the number is a multiple of 13 14: The number is a multiple of 2 and 7 at the same time 15: The number is a multiple of 3 and 5 at the same time 16: The last 4 digits are a multiple of 16 The 1,000s digit is even and the last 3 digits are a multiple of 16 The 1,000s digit is odd and the last 3 digits are 8 times an odd number 17: The difference between 5 times the last digit and the rest of the number is a multiple of 17 18: The number is a multiple of 2 and 9 at the same time 19: The sum of twice the last digit and the rest of the number is a multiple of 19 20: The number ends in 00, 20, 40, 60 or 80 21: The number is a multiple of 3 and 7 at the same time 22: The number is a multiple of 2 and 11 at the same time 23: The sum of 7 times the last digit and the rest of the number is a multiple of 23 24: The number is a multiple of 3 and 8 at the same time 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of 2 and 13 at the same time 27: The difference between 8 times the last digit and the rest of the number is a multiple of 27 28: The number is a multiple of 4 and 7 at the same time 29: The sum of thrice the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of 3 and 10 at the same time 31: The difference between thrice the last digit and the rest of the number is a multiple of 31 32: The last 5 digits are a multiple of 32 The 10,000s digit is even and the last 4 digits are a multiple of 32 The 10,000s digit is odd and the last 4 digits are 16 times an odd number 33: The number is a multiple of 3 and 11 at the same time 34: The number is a multiple of 2 and 17 at the same time 35: The number is a multiple of 5 and 7 at the same time 36: The number is a multiple of 4 and 9 at the same time 37: The difference between 11 times the last digit and the rest of the number is a multiple of 37 38: The number is a multiple of 2 and 19 at the same time 39: The number is a multiple of 3 and 13 at the same time 40: The last 3 digits are a multiple of 40 The 100s digit is even and the last 2 digits are 00, 40 or 80 The 100s digit is odd and the last 2 digits are 20 or 60 41: The difference between 4 times the last digit and the rest of the number is a multiple of 41 42: The number is a multiple of 2, 3 and 7 at the same time 43: The sum of 13 times the last digit and the rest of the number is a multiple of 43 44: The number is a multiple of 4 and 11 at the same time 45: The number is a multiple of 5 and 9 at the same time 46: The number is a multiple of 2 and 23 at the same time 47: The difference between 14 times the last digit and the rest of the number is a multiple of 47 48: The number is a multiple of 3 and 16 at the same time 49: The sum of 5 times the last digit and the rest of the number is a multiple of 49 50: The number ends in 00 or 50
It's not completely necessary to know the factors if the number ends in 1, 3, 7 or 9. You can sum or subtract a certain number of times the last digit by the rest of the number if the number ends in 1, 3, 7 or 9. However I think it's required to factorize the number if it ends in 0, 2, 4, 5, 6 or 8. Here are the divisibility rules of every number from 1 to 50 1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 3: The sum of the digits is a multiple of 3 4: The last 2 digits are a multiple of 4 The 10s digit is even and the last digit is 0, 4 or 8 The 10s digit is odd and the last digit is 2 or 6 5: The number ends in 0 or 5 6: The number is a multiple of 2 and 3 at the same time 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The last 3 digits are a multiple of 8 The 100s digit is even and the last 2 digits are a multiple of 8 The 100s digit is odd and the last 2 digits are 4 times an odd number 9: The sum of the digits is a multiple of 9 10: The number ends in 0 11: The difference between the last digit and the rest of the number is a multiple of 11 12: The number is a multiple of 3 and 4 at the same time 13: The sum of 4 times the last digit and the rest of the number is a multiple of 13 14: The number is a multiple of 2 and 7 at the same time 15: The number is a multiple of 3 and 5 at the same time 16: The last 4 digits are a multiple of 16 The 1,000s digit is even and the last 3 digits are a multiple of 16 The 1,000s digit is odd and the last 3 digits are 8 times an odd number 17: The difference between 5 times the last digit and the rest of the number is a multiple of 17 18: The number is a multiple of 2 and 9 at the same time 19: The sum of twice the last digit and the rest of the number is a multiple of 19 20: The number ends in 00, 20, 40, 60 or 80 21: The difference between twice the last digit and the rest of the number is a multiple of 21 22: The number is a multiple of 2 and 11 at the same time 23: The sum of 7 times the last digit and the rest of the number is a multiple of 23 24: The number is a multiple of 3 and 8 at the same time 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of 2 and 13 at the same time 27: The difference between 8 times the last digit and the rest of the number is a multiple of 27 28: The number is a multiple of 4 and 7 at the same time 29: The sum of thrice the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of 3 and 10 at the same time 31: The difference between thrice the last digit and the rest of the number is a multiple of 31 32: The last 5 digits are a multiple of 32 The 10,000s digit is even and the last 4 digits are a multiple of 32 The 10,000s digit is odd and the last 4 digits are 16 times an odd number 33: The sum of 10 times the last digit and the rest of the number is a multiple of 33 34: The number is a multiple of 2 and 17 at the same time 35: The number is a multiple of 5 and 7 at the same time 36: The number is a multiple of 4 and 9 at the same time 37: The difference between 11 times the last digit and the rest of the number is a multiple of 37 38: The number is a multiple of 2 and 19 at the same time 39: The sum of 4 times the last digit and the rest of the number is a multiple of 39 40: The last 3 digits are a multiple of 40 The 100s digit is even and the last 2 digits are 00, 40 or 80 The 100s digit is odd and the last 2 digits are 20 or 60 41: The difference between 4 times the last digit and the rest of the number is a multiple of 41 42: The number is a multiple of 2 and 21 at the same time 43: The sum of 13 times the last digit and the rest of the number is a multiple of 43 44: The number is a multiple of 4 and 11 at the same time 45: The number is a multiple of 5 and 9 at the same time 46: The number is a multiple of 2 and 23 at the same time 47: The difference between 14 times the last digit and the rest of the number is a multiple of 47 48: The number is a multiple of 3 and 16 at the same time 49: The sum of 5 times the last digit and the rest of the number is a multiple of 49 50: The number ends in 00 or 50
9800 The LCM of 25 & 40 is 200, so need the largest multiple of 200 less than 10000. 10000 ÷ 200 = 50 so 49 x 200 = 9800 is the largest 4 digit number divisible by both 25 and 40.
15, 25, 45 15, 25, 75 25, 45, 75
The 3-digit factors of 1000 are 100, 125, 200, 250, 400, 500, 625. All are multiples of 25. None are prime.
875 is one such number.
The sum of 25 times the last digit and the rest of the number is a multiple of 83
The divisibility rules of every number from 1 to 50 1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 3: The sum of the digits is a multiple of 3 4: The last 2 digits are a multiple of 4 The 10s digit is even and the last digit is 0, 4 or 8 The 10s digit is odd and the last digit is 2 or 6 5: The number ends in 0 or 5 6: The number is a multiple of 2 and 3 at the same time 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The last 3 digits are a multiple of 8 The 100s digit is even and the last 2 digits are a multiple of 8 The 100s digit is odd and the last 2 digits are 4 times an odd number 9: The sum of the digits is a multiple of 9 10: The number ends in 0 11: The difference between the last digit and the rest of the number is a multiple of 11 12: The number is a multiple of 3 and 4 at the same time 13: The sum of 4 times the last digit and the rest of the number is a multiple of 13 14: The number is a multiple of 2 and 7 at the same time 15: The number is a multiple of 3 and 5 at the same time 16: The last 4 digits are a multiple of 16 The 1,000s digit is even and the last 3 digits are a multiple of 16 The 1,000s digit is odd and the last 3 digits are 8 times an odd number 17: The difference between 5 times the last digit and the rest of the number is a multiple of 17 18: The number is a multiple of 2 and 9 at the same time 19: The sum of twice the last digit and the rest of the number is a multiple of 19 20: The number ends in 00, 20, 40, 60 or 80 21: The number is a multiple of 3 and 7 at the same time 22: The number is a multiple of 2 and 11 at the same time 23: The sum of 7 times the last digit and the rest of the number is a multiple of 23 24: The number is a multiple of 3 and 8 at the same time 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of 2 and 13 at the same time 27: The difference between 8 times the last digit and the rest of the number is a multiple of 27 28: The number is a multiple of 4 and 7 at the same time 29: The sum of thrice the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of 3 and 10 at the same time 31: The difference between thrice the last digit and the rest of the number is a multiple of 31 32: The last 5 digits are a multiple of 32 The 10,000s digit is even and the last 4 digits are a multiple of 32 The 10,000s digit is odd and the last 4 digits are 16 times an odd number 33: The number is a multiple of 3 and 11 at the same time 34: The number is a multiple of 2 and 17 at the same time 35: The number is a multiple of 5 and 7 at the same time 36: The number is a multiple of 4 and 9 at the same time 37: The difference between 11 times the last digit and the rest of the number is a multiple of 37 38: The number is a multiple of 2 and 19 at the same time 39: The number is a multiple of 3 and 13 at the same time 40: The last 3 digits are a multiple of 40 The 100s digit is even and the last 2 digits are 00, 40 or 80 The 100s digit is odd and the last 2 digits are 20 or 60 41: The difference between 4 times the last digit and the rest of the number is a multiple of 41 42: The number is a multiple of 2, 3 and 7 at the same time 43: The sum of 13 times the last digit and the rest of the number is a multiple of 43 44: The number is a multiple of 4 and 11 at the same time 45: The number is a multiple of 5 and 9 at the same time 46: The number is a multiple of 2 and 23 at the same time 47: The difference between 14 times the last digit and the rest of the number is a multiple of 47 48: The number is a multiple of 3 and 16 at the same time 49: The sum of 5 times the last digit and the rest of the number is a multiple of 49 50: The number ends in 00 or 50
The first 3 digit natural number is 100: 100 ÷ 4 = 25 → first 3 digit natural number divisible by 4 is 4 × 25 The last 3 digit natural number is 999: 999 ÷ 4 = 249 r 3 → last 3 digit natural number divisible by 4 is 4 × 249 → number of 3 digit natural numbers divisible by 4 is 249 - 25 + 1 = 225.
51: The number is a multiple of 3 and 17 at the same time 52: The number is a multiple of 4 and 13 at the same time 53: The sum of 16 times the last digit and the rest of the number is a multiple of 53 54: The number is a multiple of 2 and 27 at the same time 55: The number is a multiple of 5 and 11 at the same time 56: The number is a multiple of 7 and 8 at the same time 57: The number is a multiple of 3 and 19 at the same time 58: The number is a multiple of 2 and 29 at the same time 59: The sum of 6 times the last digit and the rest of the number is a multiple of 59 60: The number is a multiple of 3 and 20 at the same time 61: The difference between 6 times the last digit and the rest of the number is a multiple of 61 62: The number is a multiple of 2 and 31 at the same time 63: The number is a multiple of 7 and 9 at the same time 64: The last 6 digits are a multiple of 64 The 100,000s digit is even and the last 5 digits are a multiple of 64 The 100,000s digit is odd and the last 5 digits are 32 times an odd number 65: The number is a multiple of 5 and 13 at the same time 66: The number is a multiple of 2, 3 and 11 at the same time 67: The difference between 20 times the last digit and the rest of the number is a multiple of 67 68: The number is a multiple of 4 and 17 at the same time 69: The number is a multiple of 3 and 23 at the same time 70: The number is a multiple of 7 and 10 at the same time 71: The difference between 7 times the last digit and the rest of the number is a multiple of 71 72: The number is a multiple of 8 and 9 at the same time 73: The sum of 22 times the last digit and the rest of the number is a multiple of 73 74: The number is a multiple of 2 and 37 at the same time 75: The number is a multiple of 3 and 25 at the same time 76: The number is a multiple of 4 and 19 at the same time 77: The number is a multiple of 7 and 11 at the same time 78: The number is a multiple of 2, 3 and 13 at the same time 79: The sum of 8 times the last digit and the rest of the number is a multiple of 79 80: The last 4 digits are a multiple of 80 The 1,000s digit is even and the last 3 digits are a multiple of 80 The 1,000s digit is odd and the last 3 digits are 40 times an odd number 81: The difference between 8 times the last digit and the rest of the number is a multiple of 81 82: The number is a multiple of 2 and 41 at the same time 83: The sum of 25 times the last digit and the rest of the number is a multiple of 83 84: The number is a multiple of 3, 4 and 7 at the same time 85: The number is a multiple of 5 and 17 at the same time 86: The number is a multiple of 2 and 43 at the same time 87: The number is a multiple of 3 and 29 at the same time 88: The number is a multiple of 8 and 11 at the same time 89: The sum of 9 times the last digit and the rest of the number is a multiple of 89 90: The number is a multiple of 9 and 10 at the same time 91: The number is a multiple of 7 and 13 at the same time 92: The number is a multiple of 4 and 23 at the same time 93: The number is a multiple of 3 and 31 at the same time 94: The number is a multiple of 2 and 47 at the same time 95: The number is a multiple of 5 and 19 at the same time 96: The number is a multiple of 3 and 32 at the same time 97: The difference between 29 times the last digit and the rest of the number is a multiple of 97 98: The number is a multiple of 2 and 49 at the same time 99: The number is a multiple of 9 and 11 at the same time 100: The number ends in 00
A three digit number can be chosen in 9*10*10 = 900ways No. of ways to choose a three digit number without 7 is 8*9*9 = 648 ways probability of picking a three digit number that includes atleast one digit that is 7 is 1- (648/900) = 252/900 = 7/25
Yes. 25 is a multiple of 5 and the number 5 is a prime number.
9800 The LCM of 25 & 40 is 200, so need the largest multiple of 200 less than 10000. 10000 ÷ 200 = 50 so 49 x 200 = 9800 is the largest 4 digit number divisible by both 25 and 40.
15, 25, 45 15, 25, 75 25, 45, 75
It is 25 because 25 has a tens digit while 2.5 is only a one digit number.
151: The difference between 15 times the last digit and the rest of the number is a multiple of 151 152: The number is a multiple of 8 and 19 at the same time 153: The number is a multiple of 9 and 17 at the same time 154: The number is a multiple of 2, 7 and 11 at the same time 155: The number is a multiple of 5 and 31 at the same time 156: The number is a multiple of 3, 4 and 13 at the same time 157: The difference between 47 times the last digit and the rest of the number is a multiple of 157 158: The number is a multiple of 2 and 79 at the same time 159: The number is a multiple of 3 and 53 at the same time 160: The last 5 digits are a multiple of 160 The 10,000s digit is even and the last 4 digits are a multiple of 160 The 10,000s digit is odd and the last 4 digits are 80 times an odd number 161: The number is a multiple of 7 and 23 at the same time 162: The number is a multiple of 2 and 81 at the same time 163: The sum of 49 times the last digit and the rest of the number is a multiple of 163 164: The number is a multiple of 4 and 41 at the same time 165: The number is a multiple of 3, 5 and 11 at the same time 166: The number is a multiple of 2 and 83 at the same time 167: The difference between 50 times the last digit and the rest of the number is a multiple of 167 168: The number is a multiple of 3, 7 and 8 at the same time 169: The sum of 17 times the last digit and the rest of the number is a multiple of 169 170: The number is a multiple of 10 and 17 at the same time 171: The number is a multiple of 9 and 19 at the same time 172: The number is a multiple of 4 and 43 at the same time 173: The sum of 52 times the last digit and the rest of the number is a multiple of 173 174: The number is a multiple of 2, 3 and 29 at the same time 175: The number is a multiple of 7 and 25 at the same time 176: The number is a multiple of 11 and 16 at the same time 177: The number is a multiple of 3 and 59 at the same time 178: The number is a multiple of 2 and 89 at the same time 179: The sum of 18 times the last digit and the rest of the number is a multiple of 179 180: The number is a multiple of 9 and 20 at the same time 181: The difference between 18 times the last digit and the rest of the number is a multiple of 181 182: The number is a multiple of 2, 7 and 13 at the same time 183: The number is a multiple of 3 and 61 at the same time 184: The number is a multiple of 8 and 23 at the same time 185: The number is a multiple of 5 and 37 at the same time 186: The number is a multiple of 2, 3 and 31 at the same time 187: The number is a multiple of 11 and 17 at the same time 188: The number is a multiple of 4 and 47 at the same time 189: The number is a multiple of 7 and 27 at the same time 190: The number is a multiple of 10 and 19 at the same time 191: The difference between 19 times the last digit and the rest of the number is a multiple of 191 192: The number is a multiple of 3 and 64 at the same time 193: The sum of 58 times the last digit and the rest of the number is a multiple of 193 194: The number is a multiple of 2 and 97 at the same time 195: The number is a multiple of 3, 5 and 13 at the same time 196: The number is a multiple of 4 and 49 at the same time 197: The difference between 59 times the last digit and the rest of the number is a multiple of 197 198: The number is a multiple of 2, 9 and 11 at the same time 199: The sum of 20 times the last digit and the rest of the number is a multiple of 199 200: The number ends in 000, 200, 400, 600 or 800