Q: What are the prime factors of the number 31,575,616?

 A: 2, 493369

Why are those the prime factors of the number 31,575,616?

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 31,575,616

31,575,616
Factor Arrows
215,787,808
Factor Arrows
27,893,904
Factor Arrows
23,946,952
Factor Arrows
21,973,476
Factor Arrows
2986,738
Factor Arrows
2493,369

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, 493369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 493,369 = 31,575,616

This can also be written as 26 x 493,3691 = 31,575,616

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


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