Q: What are the prime factors of the number 201,133,436?

 A: 2, 7, 23, 44617

Why are those the prime factors of the number 201,133,436?

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 201,133,436

201,133,436
Factor Arrows
2100,566,718
Factor Arrows
250,283,359
Factor Arrows
77,183,337
Factor Arrows
71,026,191
Factor Arrows
2344,617

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, 7, 23, 44617

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 23 x 44,617 = 201,133,436

This can also be written as 22 x 72 x 231 x 44,6171 = 201,133,436

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


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