Q: What are the prime factors of the number 11,425,112?

 A: 2, 23, 31, 2003

Why are those the prime factors of the number 11,425,112?

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 11,425,112

11,425,112
Factor Arrows
25,712,556
Factor Arrows
22,856,278
Factor Arrows
21,428,139
Factor Arrows
2362,093
Factor Arrows
312,003

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, 23, 31, 2003

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 31 x 2,003 = 11,425,112

This can also be written as 23 x 231 x 311 x 2,0031 = 11,425,112

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


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