Q: What are the prime factors of the number 222,012,098?

 A: 2, 7, 11, 1441637

Why are those the prime factors of the number 222,012,098?

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 222,012,098

222,012,098
Factor Arrows
2111,006,049
Factor Arrows
715,858,007
Factor Arrows
111,441,637

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, 7, 11, 1441637

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 1,441,637 = 222,012,098

This can also be written as 21 x 71 x 111 x 1,441,6371 = 222,012,098

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


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