102 LearnersLast updated on May 26th, 2025
Factors of 476
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 476, how they are used in real life, and tips to learn them quickly.
What are the Factors of 476?
The numbers that divide 476 evenly are known as factors of 476.
A factor of 476 is a number that divides the number without remainder.
The factors of 476 are 1, 2, 4, 7, 14, 28, 17, 34, 68, 119, 238, and 476.
Negative factors of 476: -1, -2, -4, -7, -14, -28, -17, -34, -68, -119, -238, and -476.
Prime factors of 476: 2 and 17.
Prime factorization of 476: 2² × 7 × 17.
The sum of factors of 476: 1 + 2 + 4 + 7 + 14 + 28 + 17 + 34 + 68 + 119 + 238 + 476 = 1008
How to Find Factors of 476?
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 476. Identifying the numbers which are multiplied to get the number 476 is the multiplication method.
Step 1: Multiply 476 by 1, 476 × 1 = 476.
Step 2: Check for other numbers that give 476 after multiplying
2 × 238 = 476
4 × 119 = 476
7 × 68 = 476
14 × 34 = 476
17 × 28 = 476
Therefore, the positive factor pairs of 476 are: (1, 476), (2, 238), (4, 119), (7, 68), (14, 34), and (17, 28).
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 476 by 1, 476 ÷ 1 = 476.
Step 2: Continue dividing 476 by the numbers until the remainder becomes 0.
476 ÷ 1 = 476
476 ÷ 2 = 238
476 ÷ 4 = 119
476 ÷ 7 = 68
476 ÷ 14 = 34
476 ÷ 17 = 28
Therefore, the factors of 476 are: 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 476 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
476 ÷ 2 = 238
238 ÷ 2 = 119
119 ÷ 7 = 17
17 ÷ 17 = 1
The prime f
actors of 476 are 2, 7, and 17.
The prime factorization of 476 is: 2² × 7 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 476 is divided by 2 to get 238.
Step 2: Now divide 238 by 2 to get 119.
Step 3: Then divide 119 by 7 to get 17.
Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 476 is: 2² × 7 × 17.
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 476: (1, 476), (2, 238), (4, 119), (7, 68), (14, 34), and (17, 28).
Negative factor pairs of 476: (-1, -476), (-2, -238), (-4, -119), (-7, -68), (-14, -34), and (-17, -28).
Common Mistakes and How to Avoid Them in Factors of 476
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 476, 1 and 476 are also factors.
Factors of 476 Examples
Problem 1
There are 14 team members and 476 pieces of equipment. How will they distribute it equally?
They will get 34 pieces each.
Explanation
To distribute the equipment equally, we need to divide the total equipment by the number of team members.
476/14 = 34
Problem 2
A rectangular garden has a length of 28 meters and a total area of 476 square meters. Find the width.
17 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
476 = 28 × width
To find the value of width, we need to shift 28 to the left side.
476/28 = width
Width = 17.
Problem 3
There are 68 boxes and 476 toys. How many toys will be in each box?
Each box will have 7 toys.
Explanation
To find the toys in each box, divide the total toys by the boxes.
476/68 = 7
Problem 4
In a class, there are 476 students, and 14 groups. How many students are there in each group?
There are 34 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
476/14 = 34
Problem 5
476 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 28 books.
Explanation
Divide total books by shelves.
476/17 = 28
FAQs on Factors of 476
1.What are the factors of 476?
2.Mention the prime factors of 476.
3.Is 476 a multiple of 7?
4.Mention the factor pairs of 476?
5.What is the square of 476?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 476?
7.What are some fun ways kids in United Kingdom can practice Factors of 476 with numbers?
8.What role do numbers and Factors of 476 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 476 skills?
Important Glossaries for Factor of 476
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, and 476.
- Prime Factors: The factors which are prime numbers. For example, 2, 7, and 17 are prime factors of 476.
- 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 476 are (1, 476), (2, 238), etc.
- Division Method: A method to find factors by dividing a number by other numbers until the quotient is a whole number.
- Prime Factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 476 is 2² × 7 × 17.
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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.
