Q: What are the prime factors of the number 110,220,997?

 A: 41, 43, 101, 619

Why are those the prime factors of the number 110,220,997?

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 110,220,997

110,220,997
Factor Arrows
412,688,317
Factor Arrows
4362,519
Factor Arrows
101619

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:

41, 43, 101, 619

We can check our work by multiplying all of the prime factors together: 41 x 43 x 101 x 619 = 110,220,997

This can also be written as 411 x 431 x 1011 x 6191 = 110,220,997

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


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