Q: What are the prime factors of the number 111,240,019?

 A: 11, 37, 24847

Why are those the prime factors of the number 111,240,019?

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 111,240,019

111,240,019
Factor Arrows
1110,112,729
Factor Arrows
11919,339
Factor Arrows
3724,847

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:

11, 37, 24847

We can check our work by multiplying all of the prime factors together: 11 x 11 x 37 x 24,847 = 111,240,019

This can also be written as 112 x 371 x 24,8471 = 111,240,019

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


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