Q: What are the prime factors of the number 201,010,044?

 A: 2, 3, 19, 41, 21503

Why are those the prime factors of the number 201,010,044?

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 201,010,044

201,010,044
Factor Arrows
2100,505,022
Factor Arrows
250,252,511
Factor Arrows
316,750,837
Factor Arrows
19881,623
Factor Arrows
4121,503

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, 19, 41, 21503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 41 x 21,503 = 201,010,044

This can also be written as 22 x 31 x 191 x 411 x 21,5031 = 201,010,044

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


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