Is 733 a prime number?

The number 733 has only two factors, 1 and 733, which can divide the number completely without leaving any remainder. Thus, the number 733 is a prime number.

A number is considered a prime number if it has no factors other than 1 and itself. In this case, 733 has only 2 factors, 1 and 733, which means it meets the criteria to be a prime 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 733 would simply be:

Divisors of 733 = 1, 733
Number of divisors = 2

The number 733 can be considered prime.

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 733 are 1 and 733.

Thus, 733 consists of 2 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 1000 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, 101, 103, 107, 109, 113, ... 733.

733 is present in the list, and it is a prime number.

Prime Number: A natural number greater than 1 that has only two distinct positive divisors: 1 and itself. For example, 733 is a prime number because it can only be divided by 1 and 733.

Divisibility Test: A method used to check if one number can be evenly divided by another. For prime numbers, this test shows that a prime number has no divisors other than 1 and itself.

Counting Divisors Method: A technique where we count how many numbers divide evenly into the given number. If the only divisors are 1 and the number itself, it is prime. For example, the divisors of 733 are 1 and 733.

Prime Number Chart: A list of all known prime numbers, which can help identify if a number is prime by checking if it appears in the chart. 733 would be verified as a prime number by its absence of divisors other than 1 and itself.

Composite Number: A number that has more than two divisors, meaning it can be divided by numbers other than 1 and itself. Since 733 has only two divisors, it is not a composite number.