Q: What are the prime factors of the number 201,018,222?

 A: 2, 3, 11167679

Why are those the prime factors of the number 201,018,222?

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 201,018,222

201,018,222
Factor Arrows
2100,509,111
Factor Arrows
333,503,037
Factor Arrows
311,167,679

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, 11167679

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11,167,679 = 201,018,222

This can also be written as 21 x 32 x 11,167,6791 = 201,018,222

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


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