Q: What are the prime factors of the number 1,559,568?

 A: 2, 3, 32491

Why are those the prime factors of the number 1,559,568?

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 1,559,568

1,559,568
Factor Arrows
2779,784
Factor Arrows
2389,892
Factor Arrows
2194,946
Factor Arrows
297,473
Factor Arrows
332,491

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, 32491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 32,491 = 1,559,568

This can also be written as 24 x 31 x 32,4911 = 1,559,568

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


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