Q: What are the prime factors of the number 222,101,112?

 A: 2, 3, 31, 137, 2179

Why are those the prime factors of the number 222,101,112?

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 222,101,112

222,101,112
Factor Arrows
2111,050,556
Factor Arrows
255,525,278
Factor Arrows
227,762,639
Factor Arrows
39,254,213
Factor Arrows
31298,523
Factor Arrows
1372,179

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, 137, 2179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 31 x 137 x 2,179 = 222,101,112

This can also be written as 23 x 31 x 311 x 1371 x 2,1791 = 222,101,112

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


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