Q: What are the prime factors of the number 718,880?

 A: 2, 5, 4493

Why are those the prime factors of the number 718,880?

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 718,880

718,880
Factor Arrows
2359,440
Factor Arrows
2179,720
Factor Arrows
289,860
Factor Arrows
244,930
Factor Arrows
222,465
Factor Arrows
54,493

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, 4493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 4,493 = 718,880

This can also be written as 25 x 51 x 4,4931 = 718,880

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


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