Q: What are the prime factors of the number 275,511,685?

 A: 5, 19, 61, 47543

Why are those the prime factors of the number 275,511,685?

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 275,511,685

275,511,685
Factor Arrows
555,102,337
Factor Arrows
192,900,123
Factor Arrows
6147,543

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:

5, 19, 61, 47543

We can check our work by multiplying all of the prime factors together: 5 x 19 x 61 x 47,543 = 275,511,685

This can also be written as 51 x 191 x 611 x 47,5431 = 275,511,685

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


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