Q: What are the prime factors of the number 718,980?

 A: 2, 3, 5, 23, 521

Why are those the prime factors of the number 718,980?

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 718,980

718,980
Factor Arrows
2359,490
Factor Arrows
2179,745
Factor Arrows
359,915
Factor Arrows
511,983
Factor Arrows
23521

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, 23, 521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 23 x 521 = 718,980

This can also be written as 22 x 31 x 51 x 231 x 5211 = 718,980

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


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