Q: What are the prime factors of the number 115,110,534?

 A: 2, 3, 7, 11, 41, 59, 103

Why are those the prime factors of the number 115,110,534?

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 115,110,534

115,110,534
Factor Arrows
257,555,267
Factor Arrows
319,185,089
Factor Arrows
72,740,727
Factor Arrows
11249,157
Factor Arrows
416,077
Factor Arrows
59103

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, 3, 7, 11, 41, 59, 103

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 11 x 41 x 59 x 103 = 115,110,534

This can also be written as 21 x 31 x 71 x 111 x 411 x 591 x 1031 = 115,110,534

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


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