Q: What are the prime factors of the number 717,160,436?

 A: 2, 17, 36493

Why are those the prime factors of the number 717,160,436?

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 717,160,436

717,160,436
Factor Arrows
2358,580,218
Factor Arrows
2179,290,109
Factor Arrows
1710,546,477
Factor Arrows
17620,381
Factor Arrows
1736,493

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, 36493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 17 x 17 x 36,493 = 717,160,436

This can also be written as 22 x 173 x 36,4931 = 717,160,436

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


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