Identify the Square free Number
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12
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14
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19
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16
Reveal answer
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B,C
Correct answer
Explanation
Square-free numbers are integers not divisible by any perfect square other than 1. 14 = 2 x 7 and 19 (prime) are square-free as they have no repeated prime factors. 12 = 2^2 x 3 and 16 = 2^4 are not square-free because they contain perfect squares (4 and 16 respectively) as divisors.
AI explanation
A square-free number has no prime factor repeated (no perfect square, other than 1, dividing it). 14=2×7 and 19 (prime) both have only distinct prime factors, so they're square-free. 12=2²×3 and 16=2⁴ both contain a repeated prime factor (4 divides both), so they are not square-free.