Q: What are the prime factors of the number 1,112,544?

 A: 2, 3, 3863

Why are those the prime factors of the number 1,112,544?

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 1,112,544

1,112,544
Factor Arrows
2556,272
Factor Arrows
2278,136
Factor Arrows
2139,068
Factor Arrows
269,534
Factor Arrows
234,767
Factor Arrows
311,589
Factor Arrows
33,863

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, 3863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3,863 = 1,112,544

This can also be written as 25 x 32 x 3,8631 = 1,112,544

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


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