The number of Zeroes in 18! is:
Question
The number of Zeroes in 18! is:
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Solution
The number of zeroes at the end of a factorial can be calculated by finding the number of times the number 10 is a factor in the multiplication. Since 10 is a product of 2 and 5, we need to count the number of times 2 and 5 appear as factors. However, since 2 appears more frequently than 5, we only need to count the number of times 5 appears.
Here are the steps to find the number of zeroes in 18!:
- Divide 18 by 5, you get 3.6. But we only consider the quotient, so we get 3.
- Divide 18 by 25 (5^2), you get 0.72. But we only consider the quotient, so we get 0.
Add the results from step 1 and 2, we get 3 + 0 = 3.
So, the number of zeroes at the end of 18! is 3.
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