Q: What are the prime factors of the number 376,117,764?

 A: 2, 3, 11, 41, 69497

Why are those the prime factors of the number 376,117,764?

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 376,117,764

376,117,764
Factor Arrows
2188,058,882
Factor Arrows
294,029,441
Factor Arrows
331,343,147
Factor Arrows
112,849,377
Factor Arrows
4169,497

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, 11, 41, 69497

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 41 x 69,497 = 376,117,764

This can also be written as 22 x 31 x 111 x 411 x 69,4971 = 376,117,764

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


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