Q: What are the prime factors of the number 1,637,632?

 A: 2, 6397

Why are those the prime factors of the number 1,637,632?

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 1,637,632

1,637,632
Factor Arrows
2818,816
Factor Arrows
2409,408
Factor Arrows
2204,704
Factor Arrows
2102,352
Factor Arrows
251,176
Factor Arrows
225,588
Factor Arrows
212,794
Factor Arrows
26,397

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, 6397

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 2 x 6,397 = 1,637,632

This can also be written as 28 x 6,3971 = 1,637,632

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


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