Q: What are the prime factors of the number 716,326,020?

 A: 2, 3, 5, 239, 16651

Why are those the prime factors of the number 716,326,020?

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 716,326,020

716,326,020
Factor Arrows
2358,163,010
Factor Arrows
2179,081,505
Factor Arrows
359,693,835
Factor Arrows
319,897,945
Factor Arrows
53,979,589
Factor Arrows
23916,651

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, 239, 16651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 239 x 16,651 = 716,326,020

This can also be written as 22 x 32 x 51 x 2391 x 16,6511 = 716,326,020

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


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