Q: What are the prime factors of the number 760,015,716?

 A: 2, 3, 31, 2043053

Why are those the prime factors of the number 760,015,716?

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 760,015,716

760,015,716
Factor Arrows
2380,007,858
Factor Arrows
2190,003,929
Factor Arrows
363,334,643
Factor Arrows
312,043,053

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, 31, 2043053

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 2,043,053 = 760,015,716

This can also be written as 22 x 31 x 311 x 2,043,0531 = 760,015,716

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


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