Q: What are the prime factors of the number 260,026,110?

 A: 2, 3, 5, 2889179

Why are those the prime factors of the number 260,026,110?

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 260,026,110

260,026,110
Factor Arrows
2130,013,055
Factor Arrows
343,337,685
Factor Arrows
314,445,895
Factor Arrows
52,889,179

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, 3, 5, 2889179

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 2,889,179 = 260,026,110

This can also be written as 21 x 32 x 51 x 2,889,1791 = 260,026,110

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


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