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.
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.