Q: What are the prime factors of the number 721,764?

 A: 2, 3, 41, 163

Why are those the prime factors of the number 721,764?

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 721,764

721,764
Factor Arrows
2360,882
Factor Arrows
2180,441
Factor Arrows
360,147
Factor Arrows
320,049
Factor Arrows
36,683
Factor Arrows
41163

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, 3, 41, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 41 x 163 = 721,764

This can also be written as 22 x 33 x 411 x 1631 = 721,764

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


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