Q: What are the prime factors of the number 332,155,325?

 A: 5, 1123, 11831

Why are those the prime factors of the number 332,155,325?

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 332,155,325

332,155,325
Factor Arrows
566,431,065
Factor Arrows
513,286,213
Factor Arrows
1,12311,831

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:

5, 1123, 11831

We can check our work by multiplying all of the prime factors together: 5 x 5 x 1,123 x 11,831 = 332,155,325

This can also be written as 52 x 1,1231 x 11,8311 = 332,155,325

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


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