Q: What are the prime factors of the number 332,540?

 A: 2, 5, 13, 1279

Why are those the prime factors of the number 332,540?

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 332,540

332,540
Factor Arrows
2166,270
Factor Arrows
283,135
Factor Arrows
516,627
Factor Arrows
131,279

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, 5, 13, 1279

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 1,279 = 332,540

This can also be written as 22 x 51 x 131 x 1,2791 = 332,540

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


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