Q: What are the prime factors of the number 332,232,530?

 A: 2, 5, 7, 17, 279187

Why are those the prime factors of the number 332,232,530?

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 332,232,530

332,232,530
Factor Arrows
2166,116,265
Factor Arrows
533,223,253
Factor Arrows
74,746,179
Factor Arrows
17279,187

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, 7, 17, 279187

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 17 x 279,187 = 332,232,530

This can also be written as 21 x 51 x 71 x 171 x 279,1871 = 332,232,530

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


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