Q: What are the prime factors of the number 324,451,785?

 A: 3, 5, 7, 73, 6047

Why are those the prime factors of the number 324,451,785?

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 324,451,785

324,451,785
Factor Arrows
3108,150,595
Factor Arrows
521,630,119
Factor Arrows
73,090,017
Factor Arrows
7441,431
Factor Arrows
736,047

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:

3, 5, 7, 73, 6047

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 7 x 73 x 6,047 = 324,451,785

This can also be written as 31 x 51 x 72 x 731 x 6,0471 = 324,451,785

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


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