Q: What are the prime factors of the number 327,744?

 A: 2, 3, 569

Why are those the prime factors of the number 327,744?

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 327,744

327,744
Factor Arrows
2163,872
Factor Arrows
281,936
Factor Arrows
240,968
Factor Arrows
220,484
Factor Arrows
210,242
Factor Arrows
25,121
Factor Arrows
31,707
Factor Arrows
3569

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, 3, 569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 569 = 327,744

This can also be written as 26 x 32 x 5691 = 327,744

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


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