Q: What are the prime factors of the number 32,128?

 A: 2, 251

Why are those the prime factors of the number 32,128?

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 32,128

32,128
Factor Arrows
216,064
Factor Arrows
28,032
Factor Arrows
24,016
Factor Arrows
22,008
Factor Arrows
21,004
Factor Arrows
2502
Factor Arrows
2251

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, 251

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 251 = 32,128

This can also be written as 27 x 2511 = 32,128

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


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