Q: What are the prime factors of the number 16,313,157?

 A: 3, 7, 28771

Why are those the prime factors of the number 16,313,157?

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 16,313,157

16,313,157
Factor Arrows
35,437,719
Factor Arrows
31,812,573
Factor Arrows
3604,191
Factor Arrows
3201,397
Factor Arrows
728,771

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:

3, 7, 28771

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 28,771 = 16,313,157

This can also be written as 34 x 71 x 28,7711 = 16,313,157

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


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