Q: What are the prime factors of the number 323,050,020?

 A: 2, 3, 5, 5384167

Why are those the prime factors of the number 323,050,020?

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 323,050,020

323,050,020
Factor Arrows
2161,525,010
Factor Arrows
280,762,505
Factor Arrows
326,920,835
Factor Arrows
55,384,167

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, 5, 5384167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5,384,167 = 323,050,020

This can also be written as 22 x 31 x 51 x 5,384,1671 = 323,050,020

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


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