Q: What are the prime factors of the number 1,115,216?

 A: 2, 47, 1483

Why are those the prime factors of the number 1,115,216?

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 1,115,216

1,115,216
Factor Arrows
2557,608
Factor Arrows
2278,804
Factor Arrows
2139,402
Factor Arrows
269,701
Factor Arrows
471,483

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, 47, 1483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 47 x 1,483 = 1,115,216

This can also be written as 24 x 471 x 1,4831 = 1,115,216

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


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