Q: What are the prime factors of the number 308,348,883?

 A: 3, 11420329

Why are those the prime factors of the number 308,348,883?

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 308,348,883

308,348,883
Factor Arrows
3102,782,961
Factor Arrows
334,260,987
Factor Arrows
311,420,329

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, 11420329

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11,420,329 = 308,348,883

This can also be written as 33 x 11,420,3291 = 308,348,883

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


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