Q: What are the prime factors of the number 111,014,307?

 A: 3, 23, 2207

Why are those the prime factors of the number 111,014,307?

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 111,014,307

111,014,307
Factor Arrows
337,004,769
Factor Arrows
312,334,923
Factor Arrows
34,111,641
Factor Arrows
31,370,547
Factor Arrows
3456,849
Factor Arrows
3152,283
Factor Arrows
350,761
Factor Arrows
232,207

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:

3, 23, 2207

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 23 x 2,207 = 111,014,307

This can also be written as 37 x 231 x 2,2071 = 111,014,307

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


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