Q: What are the prime factors of the number 326,560?

 A: 2, 5, 13, 157

Why are those the prime factors of the number 326,560?

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 326,560

326,560
Factor Arrows
2163,280
Factor Arrows
281,640
Factor Arrows
240,820
Factor Arrows
220,410
Factor Arrows
210,205
Factor Arrows
52,041
Factor Arrows
13157

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, 13, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 13 x 157 = 326,560

This can also be written as 25 x 51 x 131 x 1571 = 326,560

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


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