Q: What are the prime factors of the number 1,114,432?

 A: 2, 11, 1583

Why are those the prime factors of the number 1,114,432?

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 1,114,432

1,114,432
Factor Arrows
2557,216
Factor Arrows
2278,608
Factor Arrows
2139,304
Factor Arrows
269,652
Factor Arrows
234,826
Factor Arrows
217,413
Factor Arrows
111,583

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, 11, 1583

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 11 x 1,583 = 1,114,432

This can also be written as 26 x 111 x 1,5831 = 1,114,432

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


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