Q: What are the prime factors of the number 326,067,399?

 A: 3, 7, 5175673

Why are those the prime factors of the number 326,067,399?

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 326,067,399

326,067,399
Factor Arrows
3108,689,133
Factor Arrows
336,229,711
Factor Arrows
75,175,673

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:

3, 7, 5175673

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 5,175,673 = 326,067,399

This can also be written as 32 x 71 x 5,175,6731 = 326,067,399

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


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