Q: What are the prime factors of the number 932,481?

 A: 3, 11, 9419

Why are those the prime factors of the number 932,481?

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 932,481

932,481
Factor Arrows
3310,827
Factor Arrows
3103,609
Factor Arrows
119,419

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:

3, 11, 9419

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 9,419 = 932,481

This can also be written as 32 x 111 x 9,4191 = 932,481

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


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