Q: What are the prime factors of the number 323,135,024?

 A: 2, 43, 469673

Why are those the prime factors of the number 323,135,024?

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 323,135,024

323,135,024
Factor Arrows
2161,567,512
Factor Arrows
280,783,756
Factor Arrows
240,391,878
Factor Arrows
220,195,939
Factor Arrows
43469,673

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, 43, 469673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 43 x 469,673 = 323,135,024

This can also be written as 24 x 431 x 469,6731 = 323,135,024

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


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