Q: What are the prime factors of the number 2,231,152?

 A: 2, 7, 11, 1811

Why are those the prime factors of the number 2,231,152?

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 2,231,152

2,231,152
Factor Arrows
21,115,576
Factor Arrows
2557,788
Factor Arrows
2278,894
Factor Arrows
2139,447
Factor Arrows
719,921
Factor Arrows
111,811

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, 7, 11, 1811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 11 x 1,811 = 2,231,152

This can also be written as 24 x 71 x 111 x 1,8111 = 2,231,152

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


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