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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
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How understanding factors help to write divisibility rules?
Factors of numbers are divisible by them with no remainders
Can you write the number 87 as the product of prime factors?
Yes, you can. Using the divisibility rules, you can quickly tell that 87 is divisible by 3 (the digits add up to 15, which is divisible by 3). 3 x 29 = 87
How do you write 590 in roman numeral?
Under todays rules: DXC
What is the set of grammar and rules that specifies how to write instructions for a solution algorithm?
syntax
How do you write 735 as a product of prime factors?
As a product of its prime factors: 3*5*7*7 = 735
