Q: What are the prime factors of the number 15,655,402?

 A: 2, 7, 17, 9397

Why are those the prime factors of the number 15,655,402?

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 15,655,402

15,655,402
Factor Arrows
27,827,701
Factor Arrows
71,118,243
Factor Arrows
7159,749
Factor Arrows
179,397

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, 7, 17, 9397

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 17 x 9,397 = 15,655,402

This can also be written as 21 x 72 x 171 x 9,3971 = 15,655,402

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


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