Is 473 a prime number?
2026-02-21 20:35 Diff
https://brightchamps.com/en-us/math/numbers/is-473-a-prime-number

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Last updated on August 5, 2025

Prime numbers have only 1 and the number itself as factors. They are used in digital security and in securing digital payments. The topics below will help you gain more knowledge on prime numbers and how they are categorized.

Is 473 a prime number?

Why is 473 not a prime number?

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
     

Using the Counting Divisors Method

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.
 

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Using the Divisibility test Method

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.
 

Using the Prime Number Chart

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.
 

Using the Prime Factorization method

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
 

Common mistakes to avoid when determining if 473 is a prime number

It is highly likely we commit some mistakes due to confusion or unclear understanding. Let us look at possible mistakes we may make and try to avoid them.
 

FAQs for "Is 473 a Prime Number"

1.What is the largest prime factor of 473?

The largest prime factor of 473 is 47.
 

2.What is the smallest prime factor of 473?

The smallest prime factor of 473 is 13.
 

3.Is 473 a composite number?

Yes, 473 is a composite number because it has divisors other than 1 and itself.
 

4.How to express 473 as a product of prime factors?

5.Represent 473 in the prime factor tree?

473 → 13 × 47 (both 13 and 47 are prime).
 

6.Do any perfect squares exist in the prime factors of 473?

7.Do any perfect cubes exist in the prime factors of 473?

8.What can 473 be divided by?

473 can be divided by 1, 13, 47, and 473.
 

Important Glossary for "Is 473 a Prime Number?"

  • 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.
     

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.