Question

Find the least number by which 384 must be divided to make it a perfect square.​

Answer 1

384 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3

3’ and '2' remains without a pair.

Hence, 384 must be divided by 3×2=6 to make it a perfect square.

384/6=64 which is a perfect square...

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Answer 2

Step 1 :

Let us find the prime factors of 384 using the method prime factorization.

Step 2 :

384 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3

Step 3 :

‘3’ and '2' remains without a pair.

Hence, 384 must be divided by 6 to make it a perfect square.

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