Is 9377 a prime number?

The number 9377 has got 4 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 9377 is a non-prime number. The factors of 9377 include 1, 3, 3129, and 9377.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 9377 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below.

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization

For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 9377 would simply be:

Divisors of 9377 = 1, 3, 3129, 9377
Number of divisors = 4

The number 9377 can be considered composite.

In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.

The divisors of 9377 are 1, 3, 3129, and 9377.

Thus, 9377 consists of 4 factors that divide it completely without any remainder.

The prime number chart is the list of prime numbers starting from 2 to infinity.

The list of prime numbers under 100 are;
2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

9377 is not present in the list, it is not a prime number.

This method is only used for a non-prime number/composite number. Since 9377 is a composite number, the prime factorization for 9377 is:

Factors of 9377 = 3 × 3129

Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. For example, 2, 3, and 5 are prime numbers.

Composite Number: A natural number greater than 1 that has more than two distinct divisors. For example, 4, 6, and 9 are composite numbers.

Divisibility: A process to determine if one number can be divided by another without leaving a remainder. A number is divisible by another if it can be divided evenly.

Factors: Numbers that divide another number evenly. For example, the factors of 9377 are 1, 3, 3129, and 9377.

Prime Factorization: Breaking down a composite number into the prime numbers that multiply together to give the original number. For example, the prime factorization of 9377 is 3 × 3129.