Q: What are the prime factors of the number 167,775?

 A: 3, 5, 2237

Why are those the prime factors of the number 167,775?

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 167,775

167,775
Factor Arrows
355,925
Factor Arrows
511,185
Factor Arrows
52,237

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:

3, 5, 2237

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 2,237 = 167,775

This can also be written as 31 x 52 x 2,2371 = 167,775

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


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