Is 1321 a prime number?

The number 1321 has got more than 2 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 1321 is a non-prime number. The factors of 1321 include 1, 7, 13, 19, 91, 133, 182, and 1321.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 1321 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 1321 would simply be

Divisors of 1321 = 1, 7, 13, 19, 91, 133, 182, 1321
Number of divisors = 8

The number 1321 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 1321 are 1, 7, 13, 19, 91, 133, 182, and 1321.

Thus, 1321 consists of 8 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.

1321 is not present in the list, so it is not a prime number.

This method is only used for a non-prime number/composite number. Since 1321 is a composite number, the prime factorization for 1321 is:

Factors of 1321 = 7 × 13 × 19

Prime Number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, and 7 are prime numbers.

Composite Number: A composite number is a positive integer greater than 1 that has more than two positive divisors. For instance, 1321 is a composite number because it has divisors other than 1 and itself, such as 7, 13, and 19.

Divisibility Rule: A rule used to determine if a number is divisible by another number without performing the division. For example, a number is divisible by 3 if the sum of its digits is divisible by 3.

Prime Factorization: The process of breaking down a composite number into its prime factors. For example, the prime factorization of 1321 is 7 × 13 × 19.

Divisors: Numbers that divide a given number exactly, without leaving a remainder. The divisors of 1321 include 1, 7, 13, 19, 91, 133, 182, and 1321.