Q: What are the prime factors of the number 1,559,616?

 A: 2, 3, 8123

Why are those the prime factors of the number 1,559,616?

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 1,559,616

1,559,616
Factor Arrows
2779,808
Factor Arrows
2389,904
Factor Arrows
2194,952
Factor Arrows
297,476
Factor Arrows
248,738
Factor Arrows
224,369
Factor Arrows
38,123

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, 8123

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 3 x 8,123 = 1,559,616

This can also be written as 26 x 31 x 8,1231 = 1,559,616

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


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