Q: What are the prime factors of the number 161,256?

 A: 2, 3, 6719

Why are those the prime factors of the number 161,256?

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 161,256

161,256
Factor Arrows
280,628
Factor Arrows
240,314
Factor Arrows
220,157
Factor Arrows
36,719

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, 6719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 6,719 = 161,256

This can also be written as 23 x 31 x 6,7191 = 161,256

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


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