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The Following Numbers Are Not Perfect Cubes? 100 - Mathematics

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Question

The following numbers are not perfect cubes?

100

Solution

The prime factorisation of 100 is as follows.

100 = 2 × 2 × 5 × 5

Here, each prime factor is not appearing as many times as a perfect multiple of 3. Two 2s and two 5s are remaining after grouping the triplets. Therefore, 100 is not a perfect cube

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 (Latest))
Chapter 7: Cubes and Cube Roots
Ex. 7.1 | Q: 1.4 | Page no. 114
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The Following Numbers Are Not Perfect Cubes? 100 Concept: Concept of Cube Number - Some Interesting Patterns.
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