Q: What are the prime factors of the number 717,075,776?

 A: 2, 17, 659077

Why are those the prime factors of the number 717,075,776?

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 717,075,776

717,075,776
Factor Arrows
2358,537,888
Factor Arrows
2179,268,944
Factor Arrows
289,634,472
Factor Arrows
244,817,236
Factor Arrows
222,408,618
Factor Arrows
211,204,309
Factor Arrows
17659,077

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, 17, 659077

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 17 x 659,077 = 717,075,776

This can also be written as 26 x 171 x 659,0771 = 717,075,776

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


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