Q: What are the prime factors of the number 524,312?

 A: 2, 65539

Why are those the prime factors of the number 524,312?

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 524,312

524,312
Factor Arrows
2262,156
Factor Arrows
2131,078
Factor Arrows
265,539

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, 65539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 65,539 = 524,312

This can also be written as 23 x 65,5391 = 524,312

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


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