Q: What are the prime factors of the number 134,928?

 A: 2, 3, 937

Why are those the prime factors of the number 134,928?

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 134,928

134,928
Factor Arrows
267,464
Factor Arrows
233,732
Factor Arrows
216,866
Factor Arrows
28,433
Factor Arrows
32,811
Factor Arrows
3937

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, 3, 937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 937 = 134,928

This can also be written as 24 x 32 x 9371 = 134,928

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


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