Q: What are the prime factors of the number 16,631,628?

 A: 2, 3, 13, 59, 139

Why are those the prime factors of the number 16,631,628?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 16,631,628

16,631,628
Factor Arrows
28,315,814
Factor Arrows
24,157,907
Factor Arrows
31,385,969
Factor Arrows
13106,613
Factor Arrows
138,201
Factor Arrows
59139

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 59, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 13 x 59 x 139 = 16,631,628

This can also be written as 22 x 31 x 132 x 591 x 1391 = 16,631,628

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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