Q: What are the prime factors of the number 103,931,883?

 A: 3, 11, 349939

Why are those the prime factors of the number 103,931,883?

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 103,931,883

103,931,883
Factor Arrows
334,643,961
Factor Arrows
311,547,987
Factor Arrows
33,849,329
Factor Arrows
11349,939

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, 11, 349939

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 349,939 = 103,931,883

This can also be written as 33 x 111 x 349,9391 = 103,931,883

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


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