Q: What are the prime factors of the number 261,262,665?

 A: 3, 5, 229, 313

Why are those the prime factors of the number 261,262,665?

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 261,262,665

261,262,665
Factor Arrows
387,087,555
Factor Arrows
329,029,185
Factor Arrows
39,676,395
Factor Arrows
33,225,465
Factor Arrows
31,075,155
Factor Arrows
3358,385
Factor Arrows
571,677
Factor Arrows
229313

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, 5, 229, 313

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 229 x 313 = 261,262,665

This can also be written as 36 x 51 x 2291 x 3131 = 261,262,665

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


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