Q: What are the prime factors of the number 325,351,536?

 A: 2, 3, 71, 95467

Why are those the prime factors of the number 325,351,536?

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 325,351,536

325,351,536
Factor Arrows
2162,675,768
Factor Arrows
281,337,884
Factor Arrows
240,668,942
Factor Arrows
220,334,471
Factor Arrows
36,778,157
Factor Arrows
7195,467

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, 71, 95467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 71 x 95,467 = 325,351,536

This can also be written as 24 x 31 x 711 x 95,4671 = 325,351,536

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


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