Q: What are the prime factors of the number 520,686?

 A: 2, 3, 28927

Why are those the prime factors of the number 520,686?

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 520,686

520,686
Factor Arrows
2260,343
Factor Arrows
386,781
Factor Arrows
328,927

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, 28927

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 28,927 = 520,686

This can also be written as 21 x 32 x 28,9271 = 520,686

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


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