Q: What are the prime factors of the number 261,066,518?

 A: 2, 17, 107, 71761

Why are those the prime factors of the number 261,066,518?

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 261,066,518

261,066,518
Factor Arrows
2130,533,259
Factor Arrows
177,678,427
Factor Arrows
10771,761

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, 17, 107, 71761

We can check our work by multiplying all of the prime factors together: 2 x 17 x 107 x 71,761 = 261,066,518

This can also be written as 21 x 171 x 1071 x 71,7611 = 261,066,518

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


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