Q: What are the prime factors of the number 324,528?

 A: 2, 3, 6761

Why are those the prime factors of the number 324,528?

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 324,528

324,528
Factor Arrows
2162,264
Factor Arrows
281,132
Factor Arrows
240,566
Factor Arrows
220,283
Factor Arrows
36,761

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, 6761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 6,761 = 324,528

This can also be written as 24 x 31 x 6,7611 = 324,528

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


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