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**Introduction to cube roots**

**Introduction to Cubes**

**Cube of a natural number**

**Perfect cube**

**Is 256 a perfect cube ?**

**What is the smallest number by which 392 must be multiplied so that the product is a perfect cube ?**

**Property 1 Cubes of all even natural numbers are even.**

**Property 2 Cubes of all odd natural numbers are odd.**

**Property 3 The sum of the cubes of first n natural numbers is equal to the square of their sum. That is `1^3 + 2^3 + 3^3 +.........+ n^3 = (1+2+3+........+n)^2`**

**Property 4 Cubes of the numbers ending in digits `1 4 5 6 and 9` are the numbers ending in the same digit. Cubes of numbers ending in digit 2 ends in digit 8 and the cube of numbers ending in digit 8 ends in digit 2. The cubes of the numbers ending in digits 3 and 7 ends in digit 7 and 3 respectively.**