Is 91 a Prime or Composite Number- Decoding the Mathematical Identity of 91

Is 91 a prime number or composite number? This question often arises when discussing the basics of number theory. To answer this, we need to understand the definitions of prime and composite numbers and then apply them to the number 91.

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. In other words, a prime number cannot be divided evenly by any other number except 1 and itself. On the other hand, composite numbers are numbers that have more than two factors, meaning they can be divided evenly by numbers other than 1 and themselves.

To determine whether 91 is a prime or composite number, we can start by checking its factors. If 91 has only two factors, 1 and 91, then it is a prime number. However, if it has more than two factors, it is a composite number.

Let’s begin by dividing 91 by the smallest prime number, which is 2. Since 91 is not divisible by 2, we move on to the next prime number, which is 3. We continue this process until we find a factor of 91 or determine that it has no factors other than 1 and itself.

After checking several prime numbers, we find that 91 is divisible by 7. Specifically, 91 divided by 7 equals 13. This means that 91 has three factors: 1, 7, and 13. Since 91 has more than two factors, it is a composite number.

In conclusion, 91 is a composite number because it has factors other than 1 and itself. This example demonstrates the importance of understanding the difference between prime and composite numbers in number theory.