Q: What are the prime factors of the number 27,584?

 A: 2, 431

Why are those the prime factors of the number 27,584?

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 27,584

27,584
Factor Arrows
213,792
Factor Arrows
26,896
Factor Arrows
23,448
Factor Arrows
21,724
Factor Arrows
2862
Factor Arrows
2431

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, 431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 431 = 27,584

This can also be written as 26 x 4311 = 27,584

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


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