The least number by which 425 must be multiplied to make it a perfect square is
17
425 = 5 × 5 × 17
Here, prime factor 17 does not have its pair. If 17 gets a pair, then the number will becomes a perfect square.
Thus, 425 × 17 = 5 × 5 × 17 × 17 is a perfect square.
Therefore, 17 is the least number by which 425 must be multiplied to make it a perfect square.