100 LearnersLast updated on May 26th, 2025
Factors of 1452
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 1452, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1452?
The numbers that divide 1452 evenly are known as factors of 1452.
A factor of 1452 is a number that divides the number without remainder.
The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, and 1452.
Negative factors of 1452: -1, -2, -3, -4, -6, -11, -12, -22, -33, -44, -66, -121, -132, -242, -363, -484, -726, and -1452.
Prime factors of 1452: 2, 3, and 11.
Prime factorization of 1452: 2^2 × 3 × 11^2.
The sum of factors of 1452: 1 + 2 + 3 + 4 + 6 + 11 + 12 + 22 + 33 + 44 + 66 + 121 + 132 + 242 + 363 + 484 + 726 + 1452 = 3720
How to Find Factors of 1452?
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 1452. Identifying the numbers which are multiplied to get the number 1452 is the multiplication method.
Step 1: Multiply 1452 by 1, 1452 × 1 = 1452.
Step 2: Check for other numbers that give 1452 after multiplying
2 × 726 = 1452
3 × 484 = 1452
4 × 363 = 1452
6 × 242 = 1452
11 × 132 = 1452
12 × 121 = 1452
22 × 66 = 1452
33 × 44 = 1452
Therefore, the positive factor pairs of 1452 are: (1, 1452), (2, 726), (3, 484), (4, 363), (6, 242), (11, 132), (12, 121), (22, 66), (33, 44).
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1452 by 1, 1452 ÷ 1 = 1452.
Step 2: Continue dividing 1452 by the numbers until the remainder becomes 0.
1452 ÷ 1 = 1452
1452 ÷ 2 = 726
1452 ÷ 3 = 484
1452 ÷ 4 = 363
1452 ÷ 6 = 242
1452 ÷ 11 = 132
1452 ÷ 12 = 121
1452 ÷ 22 = 66
1452 ÷ 33 = 44
Therefore, the factors of 1452 are: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1452 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1452 ÷ 2 = 726
726 ÷ 2 = 363
363 ÷ 3 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factors of 1452 are 2, 3, and 11.
The prime factorization of 1452 is: 2^2 × 3 × 11^2.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1452 is divided by 2 to get 726. Step 2: Now divide 726 by 2 to get 363. Step 3: Then divide 363 by 3 to get 121. Step 4: Divide 121 by 11 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1452 is: 2^2 × 3 × 11^2. 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 1452: (1, 1452), (2, 726), (3, 484), (4, 363), (6, 242), (11, 132), (12, 121), (22, 66), and (33, 44). Negative factor pairs of 1452: (-1, -1452), (-2, -726), (-3, -484), (-4, -363), (-6, -242), (-11, -132), (-12, -121), (-22, -66), and (-33, -44).
Common Mistakes and How to Avoid Them in Factors of 1452
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 1452, 1 and 1452 are also factors.
Factors of 1452 Examples
Problem 1
There are 6 teams and 1452 points. How will they distribute the points equally?
They will get 242 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1452/6 = 242
Problem 2
A hall is rectangular, the length of the hall is 11 meters and the total area is 1452 square meters. Find the width?
132 meters.
Explanation
To find the width of the hall, we use the formula,
Area = length × width
1452 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1452/11 = width
Width = 132.
Problem 3
There are 3 buses and 1452 passengers. How many passengers will be in each bus?
Each bus will have 484 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the number of buses.
1452/3 = 484
Problem 4
In a conference, there are 121 participants, and 12 groups. How many participants are there in each group?
There are 11 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
121/12 ≈ 10.08 (rounding to the nearest whole number gives 11)
Problem 5
1452 books need to be arranged in 66 shelves. How many books will go on each shelf?
Each of the shelves will have 22 books.
Explanation
Divide total books by shelves.
1452/66 = 22
FAQs on Factors of 1452
1.What are the factors of 1452?
2.Mention the prime factors of 1452.
3.Is 1452 a multiple of 11?
4.Mention the factor pairs of 1452?
5.What is the square of 1452?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1452?
7.What are some fun ways kids in Vietnam can practice Factors of 1452 with numbers?
8.What role do numbers and Factors of 1452 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1452 skills?
Important Glossaries for Factor of 1452
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, and 1452.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 11 are prime factors of 1452.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 1452 = 2^2 × 3 × 11^2.
- 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 1452 are (1, 1452), (2, 726), etc.
- Dividing evenly: When a number is divided by another number and the remainder is zero, it is said to divide evenly. For example, 1452 divided by 6 gives 242 with no remainder.
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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
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