With what least numbers (integer) 2645 to be divided so that it becomes a perfect square ?

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Solution:

⇨ Expanding 2645 as the factors of prime numbers.

⇨ 2645 = 5 x 23 x 23

⇨ Here 5 do not have any pair so for a perfect square it must be divided by at least 5 so that no unpaired number remains.