100 LearnersLast updated on May 26th, 2025
Factors of 473
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 473, how they are used in real life, and tips to learn them quickly.
What are the Factors of 473?
The numbers that divide 473 evenly are known as factors of 473.
A factor of 473 is a number that divides the number without remainder.
The factors of 473 are 1 and 473.
Negative factors of 473: -1 and -473.
Prime factor of 473: It is a prime number, so it has no other prime factors.
Prime factorization of 473: 473 is a prime number, so its only factorization is 1 × 473.
The sum of factors of 473: 1 + 473 = 474
How to Find Factors of 473?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 473. Since 473 is a prime number, it only has trivial multiplication:
Step 1: Multiply 473 by 1, 473 × 1 = 473.
Therefore, the positive factor pairs of 473 are: (1, 473).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 473 by 1, 473 ÷ 1 = 473.
Since 473 is a prime number, it doesn't divide evenly by any other number except itself.
Hence, the factors of 473 are: 1 and 473.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: 473 is a prime number and cannot be broken down further into other prime factors.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 473 is a prime number, it cannot be broken down further.
Therefore, its prime factorization remains as 1 × 473.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 473: (1, 473).
Negative factor pairs of 473: (-1, -473).
Common Mistakes and How to Avoid Them in Factors of 473
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 473, 1 and 473 are also factors.
Factors of 473 Examples
Problem 1
There are 473 students and 1 teacher. How many students does each teacher have?
The teacher has 473 students.
Explanation
To find the number of students per teacher, divide the total students by the number of teachers.
473/1 = 473
Problem 2
A library has a total of 473 books, and each shelf can hold 1 book. How many shelves are needed?
473 shelves are needed.
Explanation
To find the required number of shelves, divide the total books by the number of books per shelf.
473/1 = 473
Problem 3
A farmer has 473 carrots and wants to distribute them equally among 1 basket. How many carrots go in each basket?
473 carrots go in each basket.
Explanation
To find the number of carrots per basket, divide the total carrots by the number of baskets.
473/1 = 473
Problem 4
There are 473 tickets and 1 ticket booth. How many tickets are sold at each booth?
473 tickets are sold at the booth.
Explanation
Dividing the total tickets by the number of booths gives the number of tickets per booth.
473/1 = 473
Problem 5
473 students need to be seated in an auditorium with 1 section. How many students per section?
Each section has 473 students.
Explanation
Divide the total students by the number of sections. 473/1 = 473
FAQs on Factors of 473
1.What are the factors of 473?
2.Is 473 a prime number?
3.Can 473 be divided by any number other than 1 and itself?
4.What are the factor pairs of 473?
5.Are there negative factors of 473?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 473?
7.What are some fun ways kids in United Kingdom can practice Factors of 473 with numbers?
8.What role do numbers and Factors of 473 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 473 skills?
Important Glossaries for Factor of 473
- Factors: The numbers that divide the given number without leaving a remainder. For example, the factors of 473 are 1 and 473.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 473 is a prime number.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 473 is (1, 473).
- Negative factors: Factors of a number that are negative. For example, the negative factors of 473 are -1 and -473.
- Prime factorization: Expressing a number as the product of its prime factors. Since 473 is a prime number, its prime factorization is 1 × 473.
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About BrightChamps in United Kingdom
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.
