Q: What are the prime factors of the number 611,120,781?

 A: 3, 7544701

Why are those the prime factors of the number 611,120,781?

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 611,120,781

611,120,781
Factor Arrows
3203,706,927
Factor Arrows
367,902,309
Factor Arrows
322,634,103
Factor Arrows
37,544,701

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, 7544701

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7,544,701 = 611,120,781

This can also be written as 34 x 7,544,7011 = 611,120,781

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


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