Q: What are the prime factors of the number 18,888,012?

 A: 2, 3, 11, 13, 1223

Why are those the prime factors of the number 18,888,012?

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 18,888,012

18,888,012
Factor Arrows
29,444,006
Factor Arrows
24,722,003
Factor Arrows
31,574,001
Factor Arrows
3524,667
Factor Arrows
3174,889
Factor Arrows
1115,899
Factor Arrows
131,223

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, 11, 13, 1223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 13 x 1,223 = 18,888,012

This can also be written as 22 x 33 x 111 x 131 x 1,2231 = 18,888,012

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


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