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What is the smallest natural number by which 180 must be MULTIPLIED so that the product becomes a perfect square?
A3
B5
C9
D15
Answer & Solution
Correct answer: B. 5
Prime factorise: 180 = 2² × 3² × 5. The prime 5 appears an odd number of times. To make all prime exponents even, multiply by 5: 180 × 5 = 900 = 30². So the smallest multiplier is 5.
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