Q: What are the prime factors of the number 332,232,528?

 A: 2, 3, 6921511

Why are those the prime factors of the number 332,232,528?

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 332,232,528

332,232,528
Factor Arrows
2166,116,264
Factor Arrows
283,058,132
Factor Arrows
241,529,066
Factor Arrows
220,764,533
Factor Arrows
36,921,511

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, 6921511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 6,921,511 = 332,232,528

This can also be written as 24 x 31 x 6,921,5111 = 332,232,528

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


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