Q: What are the prime factors of the number 324,015,030?

 A: 2, 3, 5, 23, 157, 997

Why are those the prime factors of the number 324,015,030?

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 324,015,030

324,015,030
Factor Arrows
2162,007,515
Factor Arrows
354,002,505
Factor Arrows
318,000,835
Factor Arrows
53,600,167
Factor Arrows
23156,529
Factor Arrows
157997

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, 23, 157, 997

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 23 x 157 x 997 = 324,015,030

This can also be written as 21 x 32 x 51 x 231 x 1571 x 9971 = 324,015,030

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


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