Q: What are the prime factors of the number 325,232,415?

 A: 3, 5, 89227

Why are those the prime factors of the number 325,232,415?

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 325,232,415

325,232,415
Factor Arrows
3108,410,805
Factor Arrows
336,136,935
Factor Arrows
312,045,645
Factor Arrows
34,015,215
Factor Arrows
31,338,405
Factor Arrows
3446,135
Factor Arrows
589,227

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, 5, 89227

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 89,227 = 325,232,415

This can also be written as 36 x 51 x 89,2271 = 325,232,415

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


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