Find the smallest number by which 26244 is divided to get the quotient as a perfect cube- 183649

Question

Toppr Admin · Accepted Answer

The correct option is D 3626244-22-xD7-38-22-xD7-32-xD7-36To make it a perfect cube- it needs to be divided by 22-xD7-32- i-e- 4-xD7-9-36-Hence option D is correct-

Find the smallest number by which $26244$ is divided to get the quotient as a perfect cube.
$18$
$36$
$4$
$9$

The correct option is D $36$
$26244 = 2^{2} \times 3^{8} = 2^{2} \times 3^{2} \times 3^{6}$
To make it a perfect cube, it needs to be divided by $2^{2} \times 3^{2}$ , i.e. $4 \times 9 = 36$ .
Hence option D is correct.

Find the smallest number by which 26244 is divided to get the quotient as a perfect cube. 183649

The correct option is D 3626244=22×38=22×32×36To make it a perfect cube, it needs to be divided by 22×32, i.e. 4×9=36.Hence option D is correct.

Find the smallest number by which $26244$ is divided to get the quotient as a perfect cube.
$18$
$36$
$4$
$9$

The correct option is D $36$
$26244 = 2^{2} \times 3^{8} = 2^{2} \times 3^{2} \times 3^{6}$
To make it a perfect cube, it needs to be divided by $2^{2} \times 3^{2}$ , i.e. $4 \times 9 = 36$ .
Hence option D is correct.