Question

The cube of any multiple of 3 is always divisible by _​

Answer 1

Answer:

The cube of any multiple of 3 is always divisible by 3.

Answer 2

Answer:The cube of any multiple of 3 is always divisible by 3.

• Suppose, x is a multiple of 3.

• So,the x will be always divisible by 3.

• Now,if we divide x by 3,we will get a particular quotient and zero whole number.

• Let the quotient = q.

• So, x = 3 × q = 3q

• x³ = (3q)³ = 27q³

• Now,the 27 is divisible by 3 and that's why 27q³ is also divisible by 3.

• So,we can say that cube of any multiple of 3 is always divisible by 3.

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