Q: What are the prime factors of the number 114,241,416?

 A: 2, 3, 41, 116099

Why are those the prime factors of the number 114,241,416?

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 114,241,416

114,241,416
Factor Arrows
257,120,708
Factor Arrows
228,560,354
Factor Arrows
214,280,177
Factor Arrows
34,760,059
Factor Arrows
41116,099

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, 41, 116099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 41 x 116,099 = 114,241,416

This can also be written as 23 x 31 x 411 x 116,0991 = 114,241,416

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


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