Q: What are the prime factors of the number 718,840?

 A: 2, 5, 17971

Why are those the prime factors of the number 718,840?

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 718,840

718,840
Factor Arrows
2359,420
Factor Arrows
2179,710
Factor Arrows
289,855
Factor Arrows
517,971

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, 17971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 17,971 = 718,840

This can also be written as 23 x 51 x 17,9711 = 718,840

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


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