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The Following Numbers Are Not Perfect Cubes? 1000 - Mathematics

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The following numbers are not perfect cubes?

1000

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Solution

The prime factorisation of 1000 is as follows

1000 = 2 × 2 × 2 × 5 × 5 × 5

Here, as each prime factor is appearing as many times as a perfect multiple of 3, therefore, 1000 is a perfect cube.

Concept: Some Interesting Patterns of Cube Numbers
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APPEARS IN

NCERT Class 8 Maths
Chapter 7 Cubes and Cube Roots
Exercise 7.1 | Q 1.3 | Page 114

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