Q: What are the prime factors of the number 907,952?

 A: 2, 56747

Why are those the prime factors of the number 907,952?

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 907,952

907,952
Factor Arrows
2453,976
Factor Arrows
2226,988
Factor Arrows
2113,494
Factor Arrows
256,747

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, 56747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 56,747 = 907,952

This can also be written as 24 x 56,7471 = 907,952

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


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