Q: What are the prime factors of the number 111,245,048?

 A: 2, 337, 41263

Why are those the prime factors of the number 111,245,048?

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 111,245,048

111,245,048
Factor Arrows
255,622,524
Factor Arrows
227,811,262
Factor Arrows
213,905,631
Factor Arrows
33741,263

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, 337, 41263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 337 x 41,263 = 111,245,048

This can also be written as 23 x 3371 x 41,2631 = 111,245,048

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


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