Q: What are the prime factors of the number 161,280?

 A: 2, 3, 5, 7

Why are those the prime factors of the number 161,280?

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 161,280

161,280
Factor Arrows
280,640
Factor Arrows
240,320
Factor Arrows
220,160
Factor Arrows
210,080
Factor Arrows
25,040
Factor Arrows
22,520
Factor Arrows
21,260
Factor Arrows
2630
Factor Arrows
2315
Factor Arrows
3105
Factor Arrows
335
Factor Arrows
57

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, 5, 7

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 2 x 2 x 3 x 3 x 5 x 7 = 161,280

This can also be written as 29 x 32 x 51 x 71 = 161,280

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


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