Q: What are the prime factors of the number 725,280?

 A: 2, 3, 5, 1511

Why are those the prime factors of the number 725,280?

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 725,280

725,280
Factor Arrows
2362,640
Factor Arrows
2181,320
Factor Arrows
290,660
Factor Arrows
245,330
Factor Arrows
222,665
Factor Arrows
37,555
Factor Arrows
51,511

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, 1511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1,511 = 725,280

This can also be written as 25 x 31 x 51 x 1,5111 = 725,280

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


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