Q: What are the prime factors of the number 716,375,303?

 A: 7, 71, 317, 4547

Why are those the prime factors of the number 716,375,303?

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 716,375,303

716,375,303
Factor Arrows
7102,339,329
Factor Arrows
711,441,399
Factor Arrows
3174,547

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, 71, 317, 4547

We can check our work by multiplying all of the prime factors together: 7 x 71 x 317 x 4,547 = 716,375,303

This can also be written as 71 x 711 x 3171 x 4,5471 = 716,375,303

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


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