Q: What are the prime factors of the number 108,170,576?

 A: 2, 167, 40483

Why are those the prime factors of the number 108,170,576?

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 108,170,576

108,170,576
Factor Arrows
254,085,288
Factor Arrows
227,042,644
Factor Arrows
213,521,322
Factor Arrows
26,760,661
Factor Arrows
16740,483

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, 167, 40483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 167 x 40,483 = 108,170,576

This can also be written as 24 x 1671 x 40,4831 = 108,170,576

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


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