Numbers below 100 which can be divided equally between 3 and 4 are:
12, 24, 36, 48, 60, 72, 84, 96
Therefore, the two-digit number whose digits add up to 15 and which shares 3 and 4 as common factors is 96.
73 is the largest 2 digit number that is both prime and has prime numbers for both of its digits.
73 is the largest two-digit number that is prime and has prime numbers for both of its digits.
Probably because it saves you time. These are the rules from 1 to 50 1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 (an even digit) 3: The sum of the digits is a multiple of 3 4: The number ends in 00, 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92 or 96 5: The number ends in 0 or 5 6: The number is a multiple of both 2 and 3 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The 100s digit is even and the last 2 digits are 00, 08, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 or 96, or the 100s digit is odd and the last 2 digits are 04, 12, 20, 28, 36, 44, 52, 60, 68, 76, 84 or 92 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 both 3 and 4 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 both 2 and 7 15: The number is a multiple of both 3 and 5 16: The 1000s digit is even and the last 3 digits are a multiple of 16 or the 1000s 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 both 2 and 9 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 both 2 and 11 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 both 3 and 8 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of both 2 and 13 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 both 4 and 7 29: The sum of 3 times the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of both 3 and 10 31: The difference between 3 times the last digit and the rest of the number is a multiple of 31 32: The 10000s digit is even and the last 4 digits are a multiple of 32 or the 10000s 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 both 2 and 17 35: The number is a multiple of both 5 and 7 36: The number is a multiple of both 4 and 9 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 both 2 and 19 39: The sum of 4 times the last digit and the rest of the number is a multiple of 39 40: The number ends in 000, 040, 080, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920 or 960 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 both 2 and 21 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 both 4 and 11 45: The number is a multiple of both 5 and 9 46: The number is a multiple of both 2 and 23 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 both 3 and 16 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
44? ? ?
26.
73 is the largest 2 digit number that is both prime and has prime numbers for both of its digits.
73 is the largest two-digit number that is prime and has prime numbers for both of its digits.
Probably because it saves you time. These are the rules from 1 to 50 1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 (an even digit) 3: The sum of the digits is a multiple of 3 4: The number ends in 00, 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92 or 96 5: The number ends in 0 or 5 6: The number is a multiple of both 2 and 3 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The 100s digit is even and the last 2 digits are 00, 08, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 or 96, or the 100s digit is odd and the last 2 digits are 04, 12, 20, 28, 36, 44, 52, 60, 68, 76, 84 or 92 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 both 3 and 4 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 both 2 and 7 15: The number is a multiple of both 3 and 5 16: The 1000s digit is even and the last 3 digits are a multiple of 16 or the 1000s 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 both 2 and 9 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 both 2 and 11 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 both 3 and 8 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of both 2 and 13 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 both 4 and 7 29: The sum of 3 times the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of both 3 and 10 31: The difference between 3 times the last digit and the rest of the number is a multiple of 31 32: The 10000s digit is even and the last 4 digits are a multiple of 32 or the 10000s 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 both 2 and 17 35: The number is a multiple of both 5 and 7 36: The number is a multiple of both 4 and 9 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 both 2 and 19 39: The sum of 4 times the last digit and the rest of the number is a multiple of 39 40: The number ends in 000, 040, 080, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920 or 960 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 both 2 and 21 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 both 4 and 11 45: The number is a multiple of both 5 and 9 46: The number is a multiple of both 2 and 23 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 both 3 and 16 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
44? ? ?
26.
There are only two smaller 3-digit numbers and both of them have repeated digits.
To find a two-digit number that is a multiple of both 3 and 4 and has digits that sum up to 15, we can start by listing the multiples of 3 and 4: 12, 24, 36, 48, 60, 72, 84, 96. Among these, the numbers that have digits summing up to 15 are 48 and 84. Therefore, the two-digit number that satisfies all the given conditions is 48.
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23
A 6-digit number will ALWAYS be greater than a 5-digit number. Assuming both are positive of course.
12
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