What is the largest power of 10 that divides tbe product 29 x 28 x 27 x 2 x 1 ........

Quantitative Aptitude (CDS) Number System

What is the largest power of 10 that divides

tbe product 29 x 28 x 27 x . . . 2 x 1 ?

This questions was previously asked in

2023 CDS -1 MATH

To find the largest power of 10 that divides the factorial 29!:

- We need to count the number of times 10 is a factor in 29!.

- Since 10 = 2 x 5, count the number of 5s (as there are always more 2s than 5s).

- Use the formula for counting factors of 5 in 29!:

- Number = ?29/5? + ?29/25?.

- Result: 5 + 1 = 6.

- So, the largest power of 10 that divides 29! is 10^6.

- Option 3: 6 is the correct answer.

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