Q: What are the prime factors of the number 16,601,040?

 A: 2, 3, 5, 23057

Why are those the prime factors of the number 16,601,040?

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 16,601,040

16,601,040
Factor Arrows
28,300,520
Factor Arrows
24,150,260
Factor Arrows
22,075,130
Factor Arrows
21,037,565
Factor Arrows
3345,855
Factor Arrows
3115,285
Factor Arrows
523,057

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, 5, 23057

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23,057 = 16,601,040

This can also be written as 24 x 32 x 51 x 23,0571 = 16,601,040

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


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