Which of the following is a prime number? (1)97. (2) 72. (3)105
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Answer:
1 . 97 yes prime numbers
2. 72 no prime numbers
3. 105 no prime numbers
Step-by-step explanation:
1. 97 / The number 97 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 97 has exactly two factors, i.e. 1 and 97, it is a prime number.
2. 72 / The number 72 is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. ... Since 72 has more than two factors, i.e. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, it is not a prime number.
3. 105 / The number 105 is divisible by 1, 3, 5, 7, 15, 21, 35, 105. ... Since 105 has more than two factors, i.e. 1, 3, 5, 7, 15, 21, 35, 105, it is not a prime number.
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