Q: What are the prime factors of the number 760,543,712?

 A: 2, 23766991

Why are those the prime factors of the number 760,543,712?

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 760,543,712

760,543,712
Factor Arrows
2380,271,856
Factor Arrows
2190,135,928
Factor Arrows
295,067,964
Factor Arrows
247,533,982
Factor Arrows
223,766,991

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, 23766991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 23,766,991 = 760,543,712

This can also be written as 25 x 23,766,9911 = 760,543,712

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


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