Q: What are the prime factors of the number 260,245,612?

 A: 2, 11, 89, 66457

Why are those the prime factors of the number 260,245,612?

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 260,245,612

260,245,612
Factor Arrows
2130,122,806
Factor Arrows
265,061,403
Factor Arrows
115,914,673
Factor Arrows
8966,457

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, 11, 89, 66457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 89 x 66,457 = 260,245,612

This can also be written as 22 x 111 x 891 x 66,4571 = 260,245,612

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


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