Question

Write cubes of five natural numbers which are amultiple of 3 and verify the following:'The cube of a natural number which is a multiple if 3 is a multiple of 3​

Answer 1

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Answer 2

Answer:

The cubes of five natural number are:-

3, 6, 9, 12, and 15

3 = 3×3×3 = 27

6 = 6×6×6 = 216

9 = 9×9×9 = 729

12= 12×12×12 = 1728

15 = 15×15×15 = 3375

Remainder = 27 = 27 × 1

216 = 27 × 8

729 = 27 × 27

1728 = 27 × 64

3375 = 27 × 125

Thus, it is verified that the cube of a natural number, which is a multiple of 3, is a multiple of 27.