101 LearnersLast updated on May 26th, 2025
Factors of 474
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 474, how they are used in real life, and tips to learn them quickly.
What are the Factors of 474?
The numbers that divide 474 evenly are known as factors of 474.
A factor of 474 is a number that divides the number without remainder.
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, and 474.
Negative factors of 474: -1, -2, -3, -6, -79, -158, -237, and -474.
Prime factors of 474: 2, 3, and 79.
Prime factorization of 474: 2 × 3 × 79.
The sum of factors of 474: 1 + 2 + 3 + 6 + 79 + 158 + 237 + 474 = 960
How to Find Factors of 474?
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 474. Identifying the numbers which are multiplied to get the number 474 is the multiplication method.
Step 1: Multiply 474 by 1, 474 × 1 = 474.
Step 2: Check for other numbers that give 474 after multiplying
2 × 237 = 474
3 × 158 = 474
6 × 79 = 474
Therefore, the positive factor pairs of 474 are: (1, 474), (2, 237), (3, 158), and (6, 79).
All these factor pairs result in 474.
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 474 by 1, 474 ÷ 1 = 474.
Step 2: Continue dividing 474 by the numbers until the remainder becomes 0.
474 ÷ 1 = 474
474 ÷ 2 = 237
474 ÷ 3 = 158
474 ÷ 6 = 79
Therefore, the factors of 474 are: 1, 2, 3, 6, 79, 158, 237, 474.
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 474 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
474 ÷ 2 = 237
237 ÷ 3 = 79
79 ÷ 79 = 1
The prime factors of 474 are 2, 3, and 79.
The prime factorization of 474 is: 2 × 3 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 474 is divided by 2 to get 237.
Step 2: Now divide 237 by 3 to get 79.
Step 3: 79 is a prime number and cannot be divided further. So, the prime factorization of 474 is: 2 × 3 × 79.
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 474: (1, 474), (2, 237), (3, 158), and (6, 79).
Negative factor pairs of 474: (-1, -474), (-2, -237), (-3, -158), and (-6, -79).
Common Mistakes and How to Avoid Them in Factors of 474
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 474, 1 and 474 are also factors.
Factors of 474 Examples
Problem 1
There are 6 teams and 474 players. How will they distribute the players equally?
Each team will have 79 players.
Explanation
To distribute the players equally, we need to divide the total number of players with the number of teams.
474/6 = 79
Problem 2
A rectangular garden has an area of 474 square meters, and its length is 79 meters. What is the width?
6 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
474 = 79 × width
To find the value of width, we need to shift 79 to the left side.
474/79 = width
Width = 6.
Problem 3
There are 237 apples and 3 boxes. How many apples will be in each box?
Each box will have 79 apples.
Explanation
To find the apples in each box, divide the total apples with the boxes.
237/3 = 79
Problem 4
In a class, there are 474 students, and 158 groups. How many students are there in each group?
There are 3 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
474/158 = 3
Problem 5
474 books need to be arranged in 79 shelves. How many books will go on each shelf?
Each shelf will have 6 books.
Explanation
Divide total books with shelves.
474/79 = 6
FAQs on Factors of 474
1.What are the factors of 474?
2.Mention the prime factors of 474.
3.Is 474 a multiple of 3?
4.Mention the factor pairs of 474?
5.What is the square of 474?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 474?
7.What are some fun ways kids in Bahrain can practice Factors of 474 with numbers?
8.What role do numbers and Factors of 474 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 474 skills?
Important Glossaries for Factors of 474
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 474 are 1, 2, 3, 6, 79, 158, 237, and 474.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 79 are prime factors of 474.
- 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 474 are (1, 474), (2, 237), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 474 is 2 × 3 × 79.
- Division method: A method to find factors by dividing the number by integers to see which divisions result in whole numbers. For example, using the division method to find factors of 474.
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About BrightChamps in Bahrain
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.
