Q: What are the prime factors of the number 775,932?

 A: 2, 3, 64661

Why are those the prime factors of the number 775,932?

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 775,932

775,932
Factor Arrows
2387,966
Factor Arrows
2193,983
Factor Arrows
364,661

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, 64661

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 64,661 = 775,932

This can also be written as 22 x 31 x 64,6611 = 775,932

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


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