To determine which number among the options is a prime number, let's analyze each option:
1. 60: A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. However, 60 can be divided by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Since it has more than two divisors, 60 is not a prime number.
2. 52: Similarly, 52 can be divided by 1, 2, 4, 13, 26, and 52. Since it has multiple divisors other than 1 and itself, 52 is not a prime number.
3. 47: Checking the divisibility of 47, we find that it is not divisible by any number other than 1 and 47 itself. This means 47 has no divisors other than 1 and itself, indicating that 47 is a prime number.
4. 84: The number 84 can be divided by 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. Since it has more than two divisors, 84 is not a prime number.
Thus, the only number in the given options that is a prime number is 47.
