Q: What are the prime factors of the number 928,588?

 A: 2, 269, 863

Why are those the prime factors of the number 928,588?

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 928,588

928,588
Factor Arrows
2464,294
Factor Arrows
2232,147
Factor Arrows
269863

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, 269, 863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 269 x 863 = 928,588

This can also be written as 22 x 2691 x 8631 = 928,588

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


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