Q: What are the prime factors of the number 77,936,595?

 A: 3, 5, 11, 191, 2473

Why are those the prime factors of the number 77,936,595?

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 77,936,595

77,936,595
Factor Arrows
325,978,865
Factor Arrows
55,195,773
Factor Arrows
11472,343
Factor Arrows
1912,473

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, 5, 11, 191, 2473

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 191 x 2,473 = 77,936,595

This can also be written as 31 x 51 x 111 x 1911 x 2,4731 = 77,936,595

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


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