Which of the following statement is incorrect? I.359 is a prime number. II. All the prime numbers are odd. III. Prime numbers (greater then 6) leaves remainder 1 or 5 when they get divided by 6.radio_button_uncheckedOnly Iradio_button_uncheckedOnly IIradio_button_uncheckedOnly IIIradio_button_uncheckedBoth II and III
Question
Which of the following statement is incorrect? I.359 is a prime number. II. All the prime numbers are odd. III. Prime numbers (greater then 6) leaves remainder 1 or 5 when they get divided by 6.radio_button_uncheckedOnly Iradio_button_uncheckedOnly IIradio_button_uncheckedOnly IIIradio_button_uncheckedBoth II and III
Solution
The correct answer is "Only II". Here's why:
I. 359 is a prime number. This statement is correct. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. 359 has only two divisors: 1 and 359, so it is a prime number.
II. All the prime numbers are odd. This statement is incorrect. While most prime numbers are odd, there is one prime number that is even, and that is 2. So, not all prime numbers are odd.
III. Prime numbers (greater then 6) leaves remainder 1 or 5 when they get divided by 6. This statement is correct. When a prime number greater than 6 is divided by 6, the remainder is always 1 or 5. This is because prime numbers greater than 6 can be written in the form 6n ± 1, where n is a natural number.
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