Q: What are the prime factors of the number 136,672?

 A: 2, 4271

Why are those the prime factors of the number 136,672?

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 136,672

136,672
Factor Arrows
268,336
Factor Arrows
234,168
Factor Arrows
217,084
Factor Arrows
28,542
Factor Arrows
24,271

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, 4271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 4,271 = 136,672

This can also be written as 25 x 4,2711 = 136,672

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


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