Q: What are the prime factors of the number 920,392?

 A: 2, 11, 10459

Why are those the prime factors of the number 920,392?

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 920,392

920,392
Factor Arrows
2460,196
Factor Arrows
2230,098
Factor Arrows
2115,049
Factor Arrows
1110,459

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, 10459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 10,459 = 920,392

This can also be written as 23 x 111 x 10,4591 = 920,392

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


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