Q: What are the prime factors of the number 222,012,204?

 A: 2, 3, 31, 463, 1289

Why are those the prime factors of the number 222,012,204?

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 222,012,204

222,012,204
Factor Arrows
2111,006,102
Factor Arrows
255,503,051
Factor Arrows
318,501,017
Factor Arrows
31596,807
Factor Arrows
4631,289

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, 3, 31, 463, 1289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 463 x 1,289 = 222,012,204

This can also be written as 22 x 31 x 311 x 4631 x 1,2891 = 222,012,204

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


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