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Answer :
To identify the prime numbers from the given list, let's first understand what a prime number is. A prime number is a number greater than 1 that has no divisors other than 1 and itself. In other words, a prime number can only be divided evenly by 1 and the number itself.
Let's examine each of the given options:
A. 21
- 21 is not prime because it can be divided by 1, 3, 7, and 21 (3 x 7 = 21).
B. 33
- 33 is not prime because it can be divided by 1, 3, 11, and 33 (3 x 11 = 33).
C. 37
- 37 is a prime number because its only divisors are 1 and 37. It cannot be divided evenly by any other numbers.
D. 63
- 63 is not prime because it can be divided by 1, 3, 7, 9, 21, and 63 (3 x 21 = 63).
E. 77
- 77 is not prime because it can be divided by 1, 7, 11, and 77 (7 x 11 = 77).
F. 89
- 89 is a prime number because its only divisors are 1 and 89. It cannot be divided evenly by any other numbers.
Thus, the prime numbers from the given options are 37 (C) and 89 (F).
Let's examine each of the given options:
A. 21
- 21 is not prime because it can be divided by 1, 3, 7, and 21 (3 x 7 = 21).
B. 33
- 33 is not prime because it can be divided by 1, 3, 11, and 33 (3 x 11 = 33).
C. 37
- 37 is a prime number because its only divisors are 1 and 37. It cannot be divided evenly by any other numbers.
D. 63
- 63 is not prime because it can be divided by 1, 3, 7, 9, 21, and 63 (3 x 21 = 63).
E. 77
- 77 is not prime because it can be divided by 1, 7, 11, and 77 (7 x 11 = 77).
F. 89
- 89 is a prime number because its only divisors are 1 and 89. It cannot be divided evenly by any other numbers.
Thus, the prime numbers from the given options are 37 (C) and 89 (F).
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