Is 473 a prime number?

The number 473 has got multiple factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 473 is a non-prime number. The factors of 473 include 1, 13, 37, and 473.

A number to be a prime number should follow the criteria that it should not have factors other than 1 and the number itself. Here, 473 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 checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 473 would simply be: Divisors of 473 = 1, 13, 37, 473

Number of divisors = 4

The number 473 can be considered composite.
 

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

The divisors of 473 are 1, 13, 37, and 473.

Thus, 473 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.

473 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 473 is a composite number, the prime factorization for 473 is:

Factors of 473 = 13 × 37
 

• Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. Numbers such as 2, 3, and 5 are prime.

• Composite Number: A natural number greater than 1 that has more than two distinct positive divisors. 473 is an example of a composite number, with divisors 1, 13, 37, and 473.

• Divisibility Test: A method used to determine whether a number can be divided by another number without leaving a remainder. This is a key part of determining whether a number is prime or composite.

• Prime Factorization: The process of expressing a number as a product of prime numbers. For example, the prime factorization of 473 is 13 × 37.

• Divisors: The numbers that divide another number completely without leaving a remainder. For 473, the divisors are 1, 13, 37, and 473.