# Convert Number to base 3 String Representation

**Objective**: Given a number convert it to base 3 representation.

**Example**:

N = 35 Base 3 representation: 1022 N = 50 Base 3 representation: 1212

**Approach**:

Till the number is greater than 0, keep dividing it by 3 and append remainder to the result (append it at the beginning of the result)

N = 35, result =”” N = N/3 => 35/3 => 11 remainder =2 So N = 11, result =”2” N = N/3 => 11/3 => 3 remainder =2 So N = 3, result =”22” N = N/3 => 3/3 => 1 remainder =0 So N = 1, result =”022” N = N/3 => 1/3 => 0 remainder =1 So N = 0, result =”1022”

**Java Code**:

**Output**:

Base 3 representation of 35: 1022 Base 3 representation of 50: 1212