Q: What are the prime factors of the number 173,744?

 A: 2, 10859

Why are those the prime factors of the number 173,744?

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 173,744

173,744
Factor Arrows
286,872
Factor Arrows
243,436
Factor Arrows
221,718
Factor Arrows
210,859

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, 10859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 10,859 = 173,744

This can also be written as 24 x 10,8591 = 173,744

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


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