Q: What are the prime factors of the number 115,660,721?

 A: 11, 23, 31, 14747

Why are those the prime factors of the number 115,660,721?

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 115,660,721

115,660,721
Factor Arrows
1110,514,611
Factor Arrows
23457,157
Factor Arrows
3114,747

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:

11, 23, 31, 14747

We can check our work by multiplying all of the prime factors together: 11 x 23 x 31 x 14,747 = 115,660,721

This can also be written as 111 x 231 x 311 x 14,7471 = 115,660,721

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


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