Q: What are the prime factors of the number 115,456,644?

 A: 2, 3, 1069043

Why are those the prime factors of the number 115,456,644?

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 115,456,644

115,456,644
Factor Arrows
257,728,322
Factor Arrows
228,864,161
Factor Arrows
39,621,387
Factor Arrows
33,207,129
Factor Arrows
31,069,043

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, 1069043

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 1,069,043 = 115,456,644

This can also be written as 22 x 33 x 1,069,0431 = 115,456,644

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


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