93 is a composite number. A prime number is a whole number greater than 1 that has no positive divisors other than 1 and itself. In contrast, composite numbers have more than two positive divisors.
To determine whether 93 is prime or composite, we can start by checking if it can be divided evenly by any prime numbers. The prime numbers less than the square root of 93 (which is approximately 9.6) are 2, 3, 5, and 7.
First, we check divisibility by 2. Since 93 is odd, it is not divisible by 2. Next, we check 3. When we add the digits of 93 (9 + 3 = 12), we see that 12 is divisible by 3. Thus, 93 can be divided by 3. In fact, 93 ÷ 3 = 31. This shows that 93 has divisors other than 1 and itself. Therefore, it is a composite number.
In conclusion, 93 is not a prime number because it can be divided by 3 and 31, which confirms that it is composite.