Q: What are the prime factors of the number 110,022,024?

 A: 2, 3, 7, 41, 15973

Why are those the prime factors of the number 110,022,024?

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 110,022,024

110,022,024
Factor Arrows
255,011,012
Factor Arrows
227,505,506
Factor Arrows
213,752,753
Factor Arrows
34,584,251
Factor Arrows
7654,893
Factor Arrows
4115,973

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, 7, 41, 15973

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 41 x 15,973 = 110,022,024

This can also be written as 23 x 31 x 71 x 411 x 15,9731 = 110,022,024

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


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