Question

find the lowest number by which 21,168 must be divide in order to yield a perfect square

Answer 1

21168= 2^4*3^3*7^2
=[(2^2*3*7)^2]*3

This dividing 21168 by 3 gives the perfect square.

Hope it will help you my friend

Answer 2

According the question, we have to find out the lowest number by which 21,168 must be divide in order to yield a perfect square.

Here we will factorize 21168 to see how many square will be formed.

21168 = 2x2×2x2×x3x3×3×7×7

= 2²×2²×3²×7²×3

now see , we will get :-

2²,2².3²,7², but last 3 is unpaired.

since 3 is prime, and the lowest number.

Here we must divide 21,168 by 3 to yield a perfect square

21168 ÷ 3 = 7056 which is a perfect square.

Hence 3 is the required number.

Ans :- 3 is the required lowest number by which 21,168 must be divide in order to yield a perfect square.

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