Q: What are the prime factors of the number 877,492?

 A: 2, 7, 11, 37

Why are those the prime factors of the number 877,492?

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 877,492

877,492
Factor Arrows
2438,746
Factor Arrows
2219,373
Factor Arrows
731,339
Factor Arrows
74,477
Factor Arrows
11407
Factor Arrows
1137

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, 11, 37

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 11 x 11 x 37 = 877,492

This can also be written as 22 x 72 x 112 x 371 = 877,492

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


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