Q: What are the prime factors of the number 221,424,555?

 A: 3, 5, 11, 121997

Why are those the prime factors of the number 221,424,555?

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 221,424,555

221,424,555
Factor Arrows
373,808,185
Factor Arrows
514,761,637
Factor Arrows
111,341,967
Factor Arrows
11121,997

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:

3, 5, 11, 121997

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 11 x 121,997 = 221,424,555

This can also be written as 31 x 51 x 112 x 121,9971 = 221,424,555

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


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