Q: What are the prime factors of the number 474,872?

 A: 2, 59359

Why are those the prime factors of the number 474,872?

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 474,872

474,872
Factor Arrows
2237,436
Factor Arrows
2118,718
Factor Arrows
259,359

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:

2, 59359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 59,359 = 474,872

This can also be written as 23 x 59,3591 = 474,872

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


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