Q: What are the prime factors of the number 323,103,232?

 A: 2, 631061

Why are those the prime factors of the number 323,103,232?

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 323,103,232

323,103,232
Factor Arrows
2161,551,616
Factor Arrows
280,775,808
Factor Arrows
240,387,904
Factor Arrows
220,193,952
Factor Arrows
210,096,976
Factor Arrows
25,048,488
Factor Arrows
22,524,244
Factor Arrows
21,262,122
Factor Arrows
2631,061

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, 631061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 631,061 = 323,103,232

This can also be written as 29 x 631,0611 = 323,103,232

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


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