Q: What are the prime factors of the number 118,524,824?

 A: 2, 11, 122443

Why are those the prime factors of the number 118,524,824?

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 118,524,824

118,524,824
Factor Arrows
259,262,412
Factor Arrows
229,631,206
Factor Arrows
214,815,603
Factor Arrows
111,346,873
Factor Arrows
11122,443

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, 122443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 11 x 122,443 = 118,524,824

This can also be written as 23 x 112 x 122,4431 = 118,524,824

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


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