Is 91 a composite or prime number? This question often arises when discussing the classification of numbers in mathematics. In order to answer this question, we need to understand the definitions of prime and composite numbers and then apply them to the number 91.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. This means that a prime number can only be divided evenly by 1 and itself. For example, 2, 3, 5, and 7 are all prime numbers because they have no divisors other than 1 and themselves.
On the other hand, a composite number is a natural number greater than 1 that is not prime. This means that a composite number has divisors other than 1 and itself. For instance, 4, 6, 8, and 9 are all composite numbers because they have divisors other than 1 and themselves.
Now, let’s apply these definitions to the number 91. To determine whether 91 is prime or composite, we need to check if it has any divisors other than 1 and itself. By performing a prime factorization, we can find out the factors of 91.
The prime factorization of 91 is 7 × 13. This means that 91 can be divided evenly by 7 and 13, which are both prime numbers. Since 91 has divisors other than 1 and itself, it is not a prime number. Therefore, we can conclude that 91 is a composite number.
In summary, the number 91 is a composite number because it has divisors other than 1 and itself. This example highlights the importance of understanding the definitions of prime and composite numbers in order to classify numbers correctly.
