Q: What are the prime factors of the number 2,431,616?

 A: 2, 11, 157

Why are those the prime factors of the number 2,431,616?

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 2,431,616

2,431,616
Factor Arrows
21,215,808
Factor Arrows
2607,904
Factor Arrows
2303,952
Factor Arrows
2151,976
Factor Arrows
275,988
Factor Arrows
237,994
Factor Arrows
218,997
Factor Arrows
111,727
Factor Arrows
11157

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, 11, 157

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 2 x 11 x 11 x 157 = 2,431,616

This can also be written as 27 x 112 x 1571 = 2,431,616

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


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