Q: What are the prime factors of the number 263,125,755?

 A: 3, 5, 5847239

Why are those the prime factors of the number 263,125,755?

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 263,125,755

263,125,755
Factor Arrows
387,708,585
Factor Arrows
329,236,195
Factor Arrows
55,847,239

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, 5847239

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5,847,239 = 263,125,755

This can also be written as 32 x 51 x 5,847,2391 = 263,125,755

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


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