Is 793 a prime number?

The number 793 has got 4 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 793 is a non-prime number. The factors of 793 include 1, 13, 61, and 793.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 793 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 793 would simply be

Divisors of 793= 1, 13, 61, 793
Number of divisors= 4

The number 793 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 793 are 1, 13, 61, and 793.

Thus, 793 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;
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97.

793 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 793 is a composite number, the prime factorization for 793 is:

Factors of 793 = 13 × 61

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

Divisibility Test: A method used to check whether one number can be divided by another without leaving a remainder. This is often used to determine if a number is prime by testing it against smaller prime numbers.

Divisors: The numbers that divide evenly into a given number. For example, the divisors of 12 are 1, 2, 3, 4, 6, and 12.

Composite Number: A natural number greater than 1 that has more than two divisors. Unlike prime numbers, composite numbers can be divided evenly by numbers other than 1 and themselves. For example, 4, 6, and 9 are composite numbers.

Prime Factorization: The process of expressing a number as the product of its prime factors. Since prime numbers cannot be broken down further, they are the building blocks of all numbers.