Q: What are the prime factors of the number 786,328?

 A: 2, 227, 433

Why are those the prime factors of the number 786,328?

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 786,328

786,328
Factor Arrows
2393,164
Factor Arrows
2196,582
Factor Arrows
298,291
Factor Arrows
227433

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, 227, 433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 227 x 433 = 786,328

This can also be written as 23 x 2271 x 4331 = 786,328

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


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