Write the cubes of 5 natural numbers which are multiples of 3 and veri

1.	Write the cubes of 5 natural numbers which are multiples of 3 and verify the followings:“The cube of a natural number which is a multiple of 3 is a multiple of 27’'
Answer» As we know that the first 5 natural numbers which are multiple of 3 are 3, 6, 9, 12 and 15 So now, The cube of 3, 6, 9, 12 and 15 3³ = 3 × 3 × 3 = 27 6³ = 6 × 6 × 6 = 216 9³ = 9 × 9 × 9 = 729 12³ = 12 × 12 × 12 = 1728 15³ = 15 × 15 × 15 = 3375 All the cubes are divisible by 27 ∴ “The cube of a natural number which is a multiple of 3 is a multiple of 27’

Write the cubes of 5 natural numbers which are multiples of 3 and verify the followings:“The cube of a natural number which is a multiple of 3 is a multiple of 27’'

Answer»

As we know that the first 5 natural numbers which are multiple of 3 are 3, 6, 9, 12 and 15

So now,

The cube of 3, 6, 9, 12 and 15

3³ = 3 × 3 × 3

= 27

6³ = 6 × 6 × 6

= 216

9³ = 9 × 9 × 9

= 729

12³ = 12 × 12 × 12

= 1728

15³ = 15 × 15 × 15

= 3375

All the cubes are divisible by 27

∴ “The cube of a natural number which is a multiple of 3 is a multiple of 27’