Q: What are the prime factors of the number 325,531,150?

 A: 2, 5, 7, 930089

Why are those the prime factors of the number 325,531,150?

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 325,531,150

325,531,150
Factor Arrows
2162,765,575
Factor Arrows
532,553,115
Factor Arrows
56,510,623
Factor Arrows
7930,089

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, 5, 7, 930089

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 930,089 = 325,531,150

This can also be written as 21 x 52 x 71 x 930,0891 = 325,531,150

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


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