The least number by which 12500 should be divided to get a perfect square is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5
A number is a perfect square when every prime in its factorisation has an even power. Dividing by the primes with odd powers (taken once each) makes all powers even.
\(12500=4\times3125=2^2\times5^5\)
The power of 2 is even; the power of 5 is odd
Dividing by 5: \(2^2\times5^4=2500=50^2\)
So the least number is 5.