Q: What are the prime factors of the number 717,002,545?

 A: 5, 7, 109, 26849

Why are those the prime factors of the number 717,002,545?

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 717,002,545

717,002,545
Factor Arrows
5143,400,509
Factor Arrows
720,485,787
Factor Arrows
72,926,541
Factor Arrows
10926,849

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:

5, 7, 109, 26849

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 109 x 26,849 = 717,002,545

This can also be written as 51 x 72 x 1091 x 26,8491 = 717,002,545

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


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