Q: What are the prime factors of the number 324,215,016?

 A: 2, 3, 37, 365107

Why are those the prime factors of the number 324,215,016?

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 324,215,016

324,215,016
Factor Arrows
2162,107,508
Factor Arrows
281,053,754
Factor Arrows
240,526,877
Factor Arrows
313,508,959
Factor Arrows
37365,107

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, 37, 365107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 37 x 365,107 = 324,215,016

This can also be written as 23 x 31 x 371 x 365,1071 = 324,215,016

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


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