Q: What are the prime factors of the number 260,115,543?

 A: 3, 3211303

Why are those the prime factors of the number 260,115,543?

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 260,115,543

260,115,543
Factor Arrows
386,705,181
Factor Arrows
328,901,727
Factor Arrows
39,633,909
Factor Arrows
33,211,303

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, 3211303

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3,211,303 = 260,115,543

This can also be written as 34 x 3,211,3031 = 260,115,543

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


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