Math New Drill : Level 1 SNJ00-0705-L1  Make square number

540 multiplied by a certain integer becomes a square number. 
Find the least integer.
















Answer
15

Solution
When 540 is factorized into prime numbers, 540 = 2 × 2 × 3 × 3 × 3 × 5. 
According to this result, 540 × (integer) should be (2 × 3 × 3 × 5) × (2 × 3 × 3 × 5). Therefore the integer becomes 3 × 5 = 15.