Q: What are the prime factors of the number 266,500,557?

 A: 3, 9870391

Why are those the prime factors of the number 266,500,557?

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 266,500,557

266,500,557
Factor Arrows
388,833,519
Factor Arrows
329,611,173
Factor Arrows
39,870,391

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:

3, 9870391

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 9,870,391 = 266,500,557

This can also be written as 33 x 9,870,3911 = 266,500,557

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


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