Q: What are the prime factors of the number 323,287,520?

 A: 2, 5, 2020547

Why are those the prime factors of the number 323,287,520?

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 323,287,520

323,287,520
Factor Arrows
2161,643,760
Factor Arrows
280,821,880
Factor Arrows
240,410,940
Factor Arrows
220,205,470
Factor Arrows
210,102,735
Factor Arrows
52,020,547

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, 5, 2020547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 2,020,547 = 323,287,520

This can also be written as 25 x 51 x 2,020,5471 = 323,287,520

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


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