Q: What are the prime factors of the number 324,168?

 A: 2, 3, 13, 1039

Why are those the prime factors of the number 324,168?

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 324,168

324,168
Factor Arrows
2162,084
Factor Arrows
281,042
Factor Arrows
240,521
Factor Arrows
313,507
Factor Arrows
131,039

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, 13, 1039

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 1,039 = 324,168

This can also be written as 23 x 31 x 131 x 1,0391 = 324,168

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


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