Q: What are the prime factors of the number 174,075?

 A: 3, 5, 11, 211

Why are those the prime factors of the number 174,075?

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 174,075

174,075
Factor Arrows
358,025
Factor Arrows
511,605
Factor Arrows
52,321
Factor Arrows
11211

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, 11, 211

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 11 x 211 = 174,075

This can also be written as 31 x 52 x 111 x 2111 = 174,075

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


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