Q: What are the prime factors of the number 115,026,399?

 A: 3, 19, 31, 2411

Why are those the prime factors of the number 115,026,399?

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 115,026,399

115,026,399
Factor Arrows
338,342,133
Factor Arrows
312,780,711
Factor Arrows
34,260,237
Factor Arrows
31,420,079
Factor Arrows
1974,741
Factor Arrows
312,411

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, 19, 31, 2411

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 19 x 31 x 2,411 = 115,026,399

This can also be written as 34 x 191 x 311 x 2,4111 = 115,026,399

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


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