Q: What are the prime factors of the number 324,048,510?

 A: 2, 3, 5, 3600539

Why are those the prime factors of the number 324,048,510?

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 324,048,510

324,048,510
Factor Arrows
2162,024,255
Factor Arrows
354,008,085
Factor Arrows
318,002,695
Factor Arrows
53,600,539

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, 3600539

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 3,600,539 = 324,048,510

This can also be written as 21 x 32 x 51 x 3,600,5391 = 324,048,510

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


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