Q: What are the prime factors of the number 560,700?

 A: 2, 3, 5, 7, 89

Why are those the prime factors of the number 560,700?

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 560,700

560,700
Factor Arrows
2280,350
Factor Arrows
2140,175
Factor Arrows
346,725
Factor Arrows
315,575
Factor Arrows
53,115
Factor Arrows
5623
Factor Arrows
789

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, 5, 7, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 7 x 89 = 560,700

This can also be written as 22 x 32 x 52 x 71 x 891 = 560,700

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


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