Q: What are the prime factors of the number 260,717,553?

 A: 3, 293, 98869

Why are those the prime factors of the number 260,717,553?

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 260,717,553

260,717,553
Factor Arrows
386,905,851
Factor Arrows
328,968,617
Factor Arrows
29398,869

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, 293, 98869

We can check our work by multiplying all of the prime factors together: 3 x 3 x 293 x 98,869 = 260,717,553

This can also be written as 32 x 2931 x 98,8691 = 260,717,553

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


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