Q: What are the prime factors of the number 167,550?

 A: 2, 3, 5, 1117

Why are those the prime factors of the number 167,550?

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 167,550

167,550
Factor Arrows
283,775
Factor Arrows
327,925
Factor Arrows
55,585
Factor Arrows
51,117

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, 1117

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 1,117 = 167,550

This can also be written as 21 x 31 x 52 x 1,1171 = 167,550

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


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