Q: What are the prime factors of the number 724,580?

 A: 2, 5, 36229

Why are those the prime factors of the number 724,580?

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 724,580

724,580
Factor Arrows
2362,290
Factor Arrows
2181,145
Factor Arrows
536,229

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, 36229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 36,229 = 724,580

This can also be written as 22 x 51 x 36,2291 = 724,580

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


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