Q: What are the prime factors of the number 732,328?

 A: 2, 91541

Why are those the prime factors of the number 732,328?

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 732,328

732,328
Factor Arrows
2366,164
Factor Arrows
2183,082
Factor Arrows
291,541

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, 91541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 91,541 = 732,328

This can also be written as 23 x 91,5411 = 732,328

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


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