Q: What are the prime factors of the number 115,220,512?

 A: 2, 11, 327331

Why are those the prime factors of the number 115,220,512?

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 115,220,512

115,220,512
Factor Arrows
257,610,256
Factor Arrows
228,805,128
Factor Arrows
214,402,564
Factor Arrows
27,201,282
Factor Arrows
23,600,641
Factor Arrows
11327,331

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, 327331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 327,331 = 115,220,512

This can also be written as 25 x 111 x 327,3311 = 115,220,512

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


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