Q: What are the prime factors of the number 21,632?

 A: 2, 13

Why are those the prime factors of the number 21,632?

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 21,632

21,632
Factor Arrows
210,816
Factor Arrows
25,408
Factor Arrows
22,704
Factor Arrows
21,352
Factor Arrows
2676
Factor Arrows
2338
Factor Arrows
2169
Factor Arrows
1313

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, 13

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 2 x 13 x 13 = 21,632

This can also be written as 27 x 132 = 21,632

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


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