Q: What are the prime factors of the number 324,365,632?

 A: 2, 5068213

Why are those the prime factors of the number 324,365,632?

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 324,365,632

324,365,632
Factor Arrows
2162,182,816
Factor Arrows
281,091,408
Factor Arrows
240,545,704
Factor Arrows
220,272,852
Factor Arrows
210,136,426
Factor Arrows
25,068,213

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, 5068213

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5,068,213 = 324,365,632

This can also be written as 26 x 5,068,2131 = 324,365,632

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


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