Question

find the least number by which 200 must be multiply to make aperfect square

Answer 1

2
200 *2=400...
Perfect square number...
Thus answer is 2.

Answer 2

Hello!

Prime factorization of 200 = 2 × 2 × 2 × 5 × 5

Group the factors :

[ (2 × 2 and 5 × 5) × 2 = 200]

✓ OBSERVATION ✓
Observed that a 2 is without pair.

Thus,

Multiply 200 by 2 :

⇒ 200 × 2 = 400

400 is a square of 20.

Hence,
The least number to be multiplied is 2.

Cheers!