100 LearnersLast updated on May 26th, 2025
Factors of 1476
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 1476, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1476?
The numbers that divide 1476 evenly are known as factors of 1476.
A factor of 1476 is a number that divides the number without a remainder.
The positive factors of 1476 are 1, 2, 3, 4, 6, 12, 123, 246, 369, 492, 738, and 1476.
Negative factors of 1476: -1, -2, -3, -4, -6, -12, -123, -246, -369, -492, -738, and -1476.
Prime factors of 1476: 2, 3, and 123.
Prime factorization of 1476: 2² × 3 × 123.
The sum of factors of 1476: 1 + 2 + 3 + 4 + 6 + 12 + 123 + 246 + 369 + 492 + 738 + 1476 = 3472.
How to Find Factors of 1476?
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 1476. Identifying the numbers which are multiplied to get the number 1476 is the multiplication method.
Step 1: Multiply 1476 by 1, 1476 × 1 = 1476.
Step 2: Check for other numbers that give 1476 after multiplying
2 × 738 = 1476
3 × 492 = 1476
4 × 369 = 1476
6 × 246 = 1476
12 × 123 = 1476
Therefore, the positive factor pairs of 1476 are: (1, 1476), (2, 738), (3, 492), (4, 369), (6, 246), (12, 123).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1476 by 1, 1476 ÷ 1 = 1476.
Step 2: Continue dividing 1476 by the numbers until the remainder becomes 0.
1476 ÷ 1 = 1476
1476 ÷ 2 = 738
1476 ÷ 3 = 492
1476 ÷ 4 = 369
1476 ÷ 6 = 246
1476 ÷ 12 = 123
Therefore, the factors of 1476 are: 1, 2, 3, 4, 6, 12, 123, 246, 369, 492, 738, 1476.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1476 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1476 ÷ 2 = 738
738 ÷ 2 = 369
369 ÷ 3 = 123
123 is a prime number.
The prime factors of 1476 are 2, 3, and 123.
The prime factorization of 1476 is: 2² × 3 × 123.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1476 is divided by 2 to get 738.
Step 2: Now divide 738 by 2 to get 369.
Step 3: Then divide 369 by 3 to get 123.
Here, 123 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1476 is: 2² × 3 × 123.
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 1476: (1, 1476), (2, 738), (3, 492), (4, 369), (6, 246), (12, 123).
Negative factor pairs of 1476: (-1, -1476), (-2, -738), (-3, -492), (-4, -369), (-6, -246), (-12, -123).
Common Mistakes and How to Avoid Them in Factors of 1476
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 1476, 1 and 1476 are also factors.
Factors of 1476 Examples
Problem 1
A library has 492 books, and there are 3 sections. How many books will each section get?
Each section will get 164 books.
Explanation
To divide the books equally, we need to divide the total books by the number of sections.
492/3 = 164
Problem 2
A factory produces 738 widgets. If each box can hold 6 widgets, how many boxes are needed?
123 boxes are needed.
Explanation
To find the number of boxes needed, we use the formula,
Total widgets/Widgets per box = Number of boxes 738/6 = 123
Problem 3
There are 369 chairs in a hall, and they need to be arranged in 4 rows. How many chairs will be in each row?
Each row will have 92 chairs.
Explanation
To find the chairs in each row, divide the total chairs by the number of rows.
369/4 = 92.25, rounded to the nearest whole number, 92.
Problem 4
A company has 246 employees and 6 departments. How many employees are there in each department?
There are 41 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department.
246/6 = 41
Problem 5
A restaurant has 123 tables, and each table can seat 12 people. How many guests can the restaurant accommodate?
The restaurant can accommodate 1476 guests.
Explanation
Multiply the number of tables by the number of people each table can seat.
123 × 12 = 1476
FAQs on Factors of 1476
1.What are the factors of 1476?
2.Mention the prime factors of 1476.
3.Is 1476 a multiple of 3?
4.Mention the factor pairs of 1476?
5.What is the square of 123?
Important Glossaries for Factor of 1476
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1476 are 1, 2, 3, 4, 6, 12, 123, 246, 369, 492, 738, 1476.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 123 are prime factors of 1476.
- 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 1476 are (1, 1476), (2, 738), etc.
- Prime factorization: Breaking down a number into its prime components. For example, the prime factorization of 1476 is 2² × 3 × 123.
- Multiples: Numbers obtained by multiplying the original number with whole numbers. For example, 1476 is a multiple of 3.
Explore More numbers
Previous to Factors of 1476
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.
