Q: What are the prime factors of the number 222,201,108?

 A: 2, 3, 463, 13331

Why are those the prime factors of the number 222,201,108?

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 222,201,108

222,201,108
Factor Arrows
2111,100,554
Factor Arrows
255,550,277
Factor Arrows
318,516,759
Factor Arrows
36,172,253
Factor Arrows
46313,331

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, 463, 13331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 463 x 13,331 = 222,201,108

This can also be written as 22 x 32 x 4631 x 13,3311 = 222,201,108

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


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