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2015-06-10T21:03:53+08:00

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We simply use the following divisibility rules,
A no. is divisible by 2 if it is even (ending in 0,2,4,6,8)
" 3 if the sum of the digits are divisible by 3
" 5 if the ones digit is 0 or 5

We perform continuous division
1) 2 | 48
    2 | 24
    2 | 12
    2 | 6
        3
So the prime factorization is 2⁴ x 3

2) 3 | 57
        19
The prime factorization is 3 x 19

3) 5 | 125
    5 |  25
          5
The prime factorization is 5³

4) 2 | 90
    3 | 45
    3 | 15
         5
The prime factorization is 2 x 3² x 5

5) 3 | 21
        7
The prime factorization is 3 x 7
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