Q: What are the prime factors of the number 174,076?

 A: 2, 7, 6217

Why are those the prime factors of the number 174,076?

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 174,076

174,076
Factor Arrows
287,038
Factor Arrows
243,519
Factor Arrows
76,217

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, 7, 6217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 6,217 = 174,076

This can also be written as 22 x 71 x 6,2171 = 174,076

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


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