Q: What are the prime factors of the number 377,456,066?

 A: 2, 13, 17, 103, 8291

Why are those the prime factors of the number 377,456,066?

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 377,456,066

377,456,066
Factor Arrows
2188,728,033
Factor Arrows
1314,517,541
Factor Arrows
17853,973
Factor Arrows
1038,291

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, 13, 17, 103, 8291

We can check our work by multiplying all of the prime factors together: 2 x 13 x 17 x 103 x 8,291 = 377,456,066

This can also be written as 21 x 131 x 171 x 1031 x 8,2911 = 377,456,066

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


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