Q: What are the prime factors of the number 16,087,648?

 A: 2, 59, 8521

Why are those the prime factors of the number 16,087,648?

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 16,087,648

16,087,648
Factor Arrows
28,043,824
Factor Arrows
24,021,912
Factor Arrows
22,010,956
Factor Arrows
21,005,478
Factor Arrows
2502,739
Factor Arrows
598,521

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, 59, 8521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 59 x 8,521 = 16,087,648

This can also be written as 25 x 591 x 8,5211 = 16,087,648

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


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