Q: What are the prime factors of the number 111,000,552?

 A: 2, 3, 13, 27367

Why are those the prime factors of the number 111,000,552?

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 111,000,552

111,000,552
Factor Arrows
255,500,276
Factor Arrows
227,750,138
Factor Arrows
213,875,069
Factor Arrows
34,625,023
Factor Arrows
13355,771
Factor Arrows
1327,367

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, 27367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 13 x 27,367 = 111,000,552

This can also be written as 23 x 31 x 132 x 27,3671 = 111,000,552

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


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