Q: What are the prime factors of the number 323,848,788?

 A: 2, 3, 67, 402797

Why are those the prime factors of the number 323,848,788?

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 323,848,788

323,848,788
Factor Arrows
2161,924,394
Factor Arrows
280,962,197
Factor Arrows
326,987,399
Factor Arrows
67402,797

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, 67, 402797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 67 x 402,797 = 323,848,788

This can also be written as 22 x 31 x 671 x 402,7971 = 323,848,788

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


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