Q: What are the prime factors of the number 17,047,616?

 A: 2, 266369

Why are those the prime factors of the number 17,047,616?

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 17,047,616

17,047,616
Factor Arrows
28,523,808
Factor Arrows
24,261,904
Factor Arrows
22,130,952
Factor Arrows
21,065,476
Factor Arrows
2532,738
Factor Arrows
2266,369

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, 266369

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 266,369 = 17,047,616

This can also be written as 26 x 266,3691 = 17,047,616

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


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