Q: What are the prime factors of the number 957,492?

 A: 2, 3, 26597

Why are those the prime factors of the number 957,492?

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 957,492

957,492
Factor Arrows
2478,746
Factor Arrows
2239,373
Factor Arrows
379,791
Factor Arrows
326,597

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, 3, 26597

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 26,597 = 957,492

This can also be written as 22 x 32 x 26,5971 = 957,492

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


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