Q: What are the prime factors of the number 972,927?

 A: 3, 17, 6359

Why are those the prime factors of the number 972,927?

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 972,927

972,927
Factor Arrows
3324,309
Factor Arrows
3108,103
Factor Arrows
176,359

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, 17, 6359

We can check our work by multiplying all of the prime factors together: 3 x 3 x 17 x 6,359 = 972,927

This can also be written as 32 x 171 x 6,3591 = 972,927

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


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