128
Question
The remainder when the square of any prime number greater than 3 is divided by 6 is
The remainder when the square of any prime number greater than 3 is divided by 6 is
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Solution
The correct option is B 1
5 = 6(1) – 1
7 = 6(1) + 1
11 = 6(2) – 1
⋮
Similarly, any prime number greater than 3 can be expressed in the form of 6k ± 1, where k is a natural number.
Therefore, the remainder when the square of any prime number greater than 3 is divided by 6 is 1.
Hence, the correct answer is option (b).
5 = 6(1) – 1
7 = 6(1) + 1
11 = 6(2) – 1
⋮
Similarly, any prime number greater than 3 can be expressed in the form of 6k ± 1, where k is a natural number.
Therefore, the remainder when the square of any prime number greater than 3 is divided by 6 is 1.
Hence, the correct answer is option (b).
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