Q: What are the prime factors of the number 115,321,712?

 A: 2, 11, 59567

Why are those the prime factors of the number 115,321,712?

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 115,321,712

115,321,712
Factor Arrows
257,660,856
Factor Arrows
228,830,428
Factor Arrows
214,415,214
Factor Arrows
27,207,607
Factor Arrows
11655,237
Factor Arrows
1159,567

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, 11, 59567

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 11 x 59,567 = 115,321,712

This can also be written as 24 x 112 x 59,5671 = 115,321,712

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


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