Q: What are the prime factors of the number 120,011,112?

 A: 2, 3, 13, 79, 541

Why are those the prime factors of the number 120,011,112?

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 120,011,112

120,011,112
Factor Arrows
260,005,556
Factor Arrows
230,002,778
Factor Arrows
215,001,389
Factor Arrows
35,000,463
Factor Arrows
31,666,821
Factor Arrows
3555,607
Factor Arrows
1342,739
Factor Arrows
79541

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, 13, 79, 541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 13 x 79 x 541 = 120,011,112

This can also be written as 23 x 33 x 131 x 791 x 5411 = 120,011,112

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


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