Q: What are the prime factors of the number 48,928?

 A: 2, 11, 139

Why are those the prime factors of the number 48,928?

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 48,928

48,928
Factor Arrows
224,464
Factor Arrows
212,232
Factor Arrows
26,116
Factor Arrows
23,058
Factor Arrows
21,529
Factor Arrows
11139

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, 11, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 139 = 48,928

This can also be written as 25 x 111 x 1391 = 48,928

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


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