Q: What are the prime factors of the number 518,680?

 A: 2, 5, 12967

Why are those the prime factors of the number 518,680?

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 518,680

518,680
Factor Arrows
2259,340
Factor Arrows
2129,670
Factor Arrows
264,835
Factor Arrows
512,967

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, 5, 12967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 12,967 = 518,680

This can also be written as 23 x 51 x 12,9671 = 518,680

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


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