Q: What are the prime factors of the number 26,864?

 A: 2, 23, 73

Why are those the prime factors of the number 26,864?

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 26,864

26,864
Factor Arrows
213,432
Factor Arrows
26,716
Factor Arrows
23,358
Factor Arrows
21,679
Factor Arrows
2373

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, 23, 73

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 23 x 73 = 26,864

This can also be written as 24 x 231 x 731 = 26,864

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


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