Q: What are the prime factors of the number 332,628?

 A: 2, 3, 53, 523

Why are those the prime factors of the number 332,628?

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 332,628

332,628
Factor Arrows
2166,314
Factor Arrows
283,157
Factor Arrows
327,719
Factor Arrows
53523

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, 53, 523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 53 x 523 = 332,628

This can also be written as 22 x 31 x 531 x 5231 = 332,628

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


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