Q: What are the prime factors of the number 16,977,728?

 A: 2, 265277

Why are those the prime factors of the number 16,977,728?

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 16,977,728

16,977,728
Factor Arrows
28,488,864
Factor Arrows
24,244,432
Factor Arrows
22,122,216
Factor Arrows
21,061,108
Factor Arrows
2530,554
Factor Arrows
2265,277

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, 265277

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 265,277 = 16,977,728

This can also be written as 26 x 265,2771 = 16,977,728

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


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