Q: What are the prime factors of the number 716,662,772?

 A: 2, 7, 97, 263867

Why are those the prime factors of the number 716,662,772?

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 716,662,772

716,662,772
Factor Arrows
2358,331,386
Factor Arrows
2179,165,693
Factor Arrows
725,595,099
Factor Arrows
97263,867

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, 7, 97, 263867

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 97 x 263,867 = 716,662,772

This can also be written as 22 x 71 x 971 x 263,8671 = 716,662,772

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


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