2015 · Q14
What is the maximum value of m if the number N = 35 × 45 × 55 × 60 × 124 × 75 is divisible by 5^{m} ?
Elementary MathematicsNumber System
- A4
- B5
- C6
- D7
Explanation
Counting factors of 5: 35, 45, 55 and 60 contribute one each, 124 contributes none, and 75 = 3·5² contributes two — total 1+1+1+1+0+2 = 6. So the maximum m is 6 (option C).