Q: What are the prime factors of the number 324,651,384?

 A: 2, 3, 4509047

Why are those the prime factors of the number 324,651,384?

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 324,651,384

324,651,384
Factor Arrows
2162,325,692
Factor Arrows
281,162,846
Factor Arrows
240,581,423
Factor Arrows
313,527,141
Factor Arrows
34,509,047

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:

2, 3, 4509047

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 4,509,047 = 324,651,384

This can also be written as 23 x 32 x 4,509,0471 = 324,651,384

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


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