CSAT: Trailing Zeros in 50 Factorial Quiz

Question

How many zeros are there at the end of 50! (50 factorial)?

Accepted Answer

We are asked to find the number of zeros at the end of 50! (50 factorial). Trailing zeros in a factorial come from the number of times 10 is a factor, and 10 = 2 × 5. Since there are always more factors of 2 than 5, we only need to count the number of factors of 5. Step 1: Count multiples of 5, 25, 125, … less than 50 ⌊50 / 5⌋ = 10 ⌊50 / 25⌋ = 2 ⌊50 / 125⌋ = 0 Step 2: Add them together 10 + 2 + 0 = 12 So, there are 12 trailing zeros in 50!. Answer: 12 (Option C)

Answer

10

Answer

11

Answer

12

Answer

13

Options

Explanation

Given

Solution

Step 1: Count powers of 5

Step 2: Add them

✅ Answer

Question