Q: What are the prime factors of the number 118,573,568?

 A: 2, 231589

Why are those the prime factors of the number 118,573,568?

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 118,573,568

118,573,568
Factor Arrows
259,286,784
Factor Arrows
229,643,392
Factor Arrows
214,821,696
Factor Arrows
27,410,848
Factor Arrows
23,705,424
Factor Arrows
21,852,712
Factor Arrows
2926,356
Factor Arrows
2463,178
Factor Arrows
2231,589

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, 231589

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 231,589 = 118,573,568

This can also be written as 29 x 231,5891 = 118,573,568

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


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