Q: What are the prime factors of the number 927,552?

 A: 2, 3, 4831

Why are those the prime factors of the number 927,552?

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 927,552

927,552
Factor Arrows
2463,776
Factor Arrows
2231,888
Factor Arrows
2115,944
Factor Arrows
257,972
Factor Arrows
228,986
Factor Arrows
214,493
Factor Arrows
34,831

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, 3, 4831

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 4,831 = 927,552

This can also be written as 26 x 31 x 4,8311 = 927,552

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


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