Q: What are the prime factors of the number 716,706,067?

 A: 7, 11, 571, 16301

Why are those the prime factors of the number 716,706,067?

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 716,706,067

716,706,067
Factor Arrows
7102,386,581
Factor Arrows
119,307,871
Factor Arrows
57116,301

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:

7, 11, 571, 16301

We can check our work by multiplying all of the prime factors together: 7 x 11 x 571 x 16,301 = 716,706,067

This can also be written as 71 x 111 x 5711 x 16,3011 = 716,706,067

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


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