Q: What are the prime factors of the number 123,100,998?

 A: 2, 3, 29, 37, 19121

Why are those the prime factors of the number 123,100,998?

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 123,100,998

123,100,998
Factor Arrows
261,550,499
Factor Arrows
320,516,833
Factor Arrows
29707,477
Factor Arrows
3719,121

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, 29, 37, 19121

We can check our work by multiplying all of the prime factors together: 2 x 3 x 29 x 37 x 19,121 = 123,100,998

This can also be written as 21 x 31 x 291 x 371 x 19,1211 = 123,100,998

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


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