100 LearnersLast updated on May 26th, 2025
Factors of 477
Factors are the numbers that divide any given number evenly without a 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 477, how they are used in real life, and tips to learn them quickly.
What are the Factors of 477?
The numbers that divide 477 evenly are known as factors of 477.
A factor of 477 is a number that divides the number without a remainder.
The factors of 477 are 1, 3, 9, 53, 159, and 477.
Negative factors of 477: -1, -3, -9, -53, -159, and -477.
Prime factors of 477: 3 and 53.
Prime factorization of 477: 3² × 53.
The sum of factors of 477: 1 + 3 + 9 + 53 + 159 + 477 = 702
How to Find Factors of 477?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 477. Identifying the numbers which are multiplied to get the number 477 is the multiplication method.
Step 1: Multiply 477 by 1, 477 × 1 = 477.
Step 2: Check for other numbers that give 477 after multiplying
3 × 159 = 477
9 × 53 = 477
Therefore, the positive factor pairs of 477 are: (1, 477), (3, 159), and (9, 53).
All these factor pairs result in 477.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 477 by 1, 477 ÷ 1 = 477.
Step 2: Continue dividing 477 by the numbers until the remainder becomes 0.
477 ÷ 1 = 477
477 ÷ 3 = 159
477 ÷ 9 = 53
Therefore, the factors of 477 are: 1, 3, 9, 53, 159, and 477.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 477 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
477 ÷ 3 = 159
159 ÷ 3 = 53
53 ÷ 53 = 1
The prime factors of 477 are 3 and 53.
The prime factorization of 477 is: 3² × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 477 is divided by 3 to get 159.
Step 2: Now divide 159 by 3 to get 53.
Here, 53 is a prime number, that cannot be divided anymore.
So, the prime factorization of 477 is: 3² × 53.
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 477: (1, 477), (3, 159), and (9, 53).
Negative factor pairs of 477: (-1, -477), (-3, -159), and (-9, -53).
Common Mistakes and How to Avoid Them in Factors of 477
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 477, 1 and 477 are also factors.
Factors of 477 Examples
Problem 1
There are 3 teams and 477 points. How will they distribute them equally?
They will get 159 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
477/3 = 159
Problem 2
A field is rectangular, the length of the field is 53 meters and the total area is 477 square meters. Find the width.
9 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
477 = 53 × width
To find the value of width, we need to shift 53 to the left side.
477/53 = width
Width = 9.
Problem 3
There are 9 boxes and 477 marbles. How many marbles will be in each box?
Each box will have 53 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
477/9 = 53
Problem 4
In a class, there are 477 students, and 159 groups. How many students are there in each group?
There are 3 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
477/159 = 3
Problem 5
477 books need to be arranged in 53 shelves. How many books will go on each shelf?
Each of the shelves has 9 books.
Explanation
Divide total books by shelves.
477/53 = 9
FAQs on Factors of 477
1.What are the factors of 477?
2.Mention the prime factors of 477.
3.Is 477 a multiple of 3?
4.Mention the factor pairs of 477.
5.What is the square of 477?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 477?
7.What are some fun ways kids in United Kingdom can practice Factors of 477 with numbers?
8.What role do numbers and Factors of 477 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 477 skills?
Important Glossaries for Factors of 477
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 477 are 1, 3, 9, 53, 159, and 477.
- Prime factors: The factors which are prime numbers. For example, 3 and 53 are prime factors of 477.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 477 are (1, 477), (3, 159), (9, 53), etc.
- Multiple: A number that can be divided by another number without a remainder. For example, 477 is a multiple of 3.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 477 is 3² × 53.
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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.
