Q: What are the prime factors of the number 115,410,022?

 A: 2, 7, 13, 43, 14747

Why are those the prime factors of the number 115,410,022?

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 115,410,022

115,410,022
Factor Arrows
257,705,011
Factor Arrows
78,243,573
Factor Arrows
13634,121
Factor Arrows
4314,747

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, 7, 13, 43, 14747

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 43 x 14,747 = 115,410,022

This can also be written as 21 x 71 x 131 x 431 x 14,7471 = 115,410,022

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


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