Q: What are the prime factors of the number 515,772?

 A: 2, 3, 14327

Why are those the prime factors of the number 515,772?

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 515,772

515,772
Factor Arrows
2257,886
Factor Arrows
2128,943
Factor Arrows
342,981
Factor Arrows
314,327

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, 14327

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 14,327 = 515,772

This can also be written as 22 x 32 x 14,3271 = 515,772

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


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