Q: What are the prime factors of the number 760,662,056?

 A: 2, 7, 11, 1234841

Why are those the prime factors of the number 760,662,056?

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 760,662,056

760,662,056
Factor Arrows
2380,331,028
Factor Arrows
2190,165,514
Factor Arrows
295,082,757
Factor Arrows
713,583,251
Factor Arrows
111,234,841

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, 7, 11, 1234841

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 11 x 1,234,841 = 760,662,056

This can also be written as 23 x 71 x 111 x 1,234,8411 = 760,662,056

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


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