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Find the Smallest Number by Which the Following Number Must Be Divided to Obtain a Perfect Cube. 192 - CBSE Class 8 - Mathematics

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Question

Find the smallest number by which the following number must be divided to obtain a perfect cube.

192

Solution

192 = 2 × 2 × 2 × 2 × 2 × 2 × 3

Here, one 3 is left which is not in a triplet.

If we divide 192 by 3, then it will become a perfect cube.

Thus, 192 ÷ 3 = 64 = 2 × 2 × 2 × 2 × 2 × 2 is a perfect cube.

Hence, the smallest number by which 192 should be divided to make it a perfect cube is 3.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 7: Cubes and Cube Roots
Ex. 7.10 | Q: 3.4 | Page no. 114
Solution Find the Smallest Number by Which the Following Number Must Be Divided to Obtain a Perfect Cube. 192 Concept: Cubes - Smallest Multiple that is a Perfect Cube.
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