Q: What are the prime factors of the number 324,976?

 A: 2, 19, 1069

Why are those the prime factors of the number 324,976?

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 324,976

324,976
Factor Arrows
2162,488
Factor Arrows
281,244
Factor Arrows
240,622
Factor Arrows
220,311
Factor Arrows
191,069

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, 19, 1069

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 1,069 = 324,976

This can also be written as 24 x 191 x 1,0691 = 324,976

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


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