Q: What are the prime factors of the number 1,018,112?

 A: 2, 41, 97

Why are those the prime factors of the number 1,018,112?

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 1,018,112

1,018,112
Factor Arrows
2509,056
Factor Arrows
2254,528
Factor Arrows
2127,264
Factor Arrows
263,632
Factor Arrows
231,816
Factor Arrows
215,908
Factor Arrows
27,954
Factor Arrows
23,977
Factor Arrows
4197

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, 41, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 41 x 97 = 1,018,112

This can also be written as 28 x 411 x 971 = 1,018,112

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


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