Q: What are the prime factors of the number 376,882,866?

 A: 2, 3, 409, 51193

Why are those the prime factors of the number 376,882,866?

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 376,882,866

376,882,866
Factor Arrows
2188,441,433
Factor Arrows
362,813,811
Factor Arrows
320,937,937
Factor Arrows
40951,193

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, 409, 51193

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 409 x 51,193 = 376,882,866

This can also be written as 21 x 32 x 4091 x 51,1931 = 376,882,866

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


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