Q: What are the prime factors of the number 326,576?

 A: 2, 20411

Why are those the prime factors of the number 326,576?

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 326,576

326,576
Factor Arrows
2163,288
Factor Arrows
281,644
Factor Arrows
240,822
Factor Arrows
220,411

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, 20411

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 20,411 = 326,576

This can also be written as 24 x 20,4111 = 326,576

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


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