Q: What are the prime factors of the number 117,453?

 A: 3, 7, 17, 47

Why are those the prime factors of the number 117,453?

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 117,453

117,453
Factor Arrows
339,151
Factor Arrows
75,593
Factor Arrows
7799
Factor Arrows
1747

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, 7, 17, 47

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 17 x 47 = 117,453

This can also be written as 31 x 72 x 171 x 471 = 117,453

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


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