Q: What are the prime factors of the number 16,741,184?

 A: 2, 261581

Why are those the prime factors of the number 16,741,184?

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 16,741,184

16,741,184
Factor Arrows
28,370,592
Factor Arrows
24,185,296
Factor Arrows
22,092,648
Factor Arrows
21,046,324
Factor Arrows
2523,162
Factor Arrows
2261,581

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, 261581

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 261,581 = 16,741,184

This can also be written as 26 x 261,5811 = 16,741,184

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


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