Q: What are the prime factors of the number 910,492?

 A: 2, 11, 20693

Why are those the prime factors of the number 910,492?

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 910,492

910,492
Factor Arrows
2455,246
Factor Arrows
2227,623
Factor Arrows
1120,693

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, 20693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 20,693 = 910,492

This can also be written as 22 x 111 x 20,6931 = 910,492

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


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