2018 · Q83
What is the largest power of 10 that divides the product 1 × 2 × 3 × 4 × … × 23 × 24 × 25?
Elementary MathematicsNumber System
- A2
- B4
- C5
- DNone of the above
Explanation
The exponent of 5 in 25! is ⌊25/5⌋ + ⌊25/25⌋ = 5 + 1 = 6 (2s are plentiful), so 10⁶ divides 25!. Since 10⁶ is not among the listed powers, the answer is none of the above, option (D).