100 LearnersLast updated on May 26th, 2025
Factors of 1446
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 1446, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1446?
The numbers that divide 1446 evenly are known as factors of 1446.
A factor of 1446 is a number that divides the number without remainder.
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, and 1446.
Negative factors of 1446: -1, -2, -3, -6, -241, -482, -723, and -1446.
Prime factors of 1446: 2, 3, and 241.
Prime factorization of 1446: 2 × 3 × 241.
The sum of factors of 1446: 1 + 2 + 3 + 6 + 241 + 482 + 723 + 1446 = 2904
How to Find Factors of 1446?
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 1446. Identifying the numbers which are multiplied to get the number 1446 is the multiplication method.
Step 1: Multiply 1446 by 1, 1446 × 1 = 1446.
Step 2: Check for other numbers that give 1446 after multiplying
2 × 723 = 1446
3 × 482 = 1446
6 × 241 = 1446
Therefore, the positive factor pairs of 1446 are: (1, 1446), (2, 723), (3, 482), (6, 241).
All these factor pair result in 1446.
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 results as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1446 by 1, 1446 ÷ 1 = 1446.
Step 2: Continue dividing 1446 by the numbers until the remainder becomes 0.
1446 ÷ 1 = 1446
1446 ÷ 2 = 723
1446 ÷ 3 = 482
1446 ÷ 6 = 241
Therefore, the factors of 1446 are: 1, 2, 3, 6, 241, 482, 723, 1446.
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 1446 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1446 ÷ 2 = 723
723 ÷ 3 = 241
241 is a prime number.
The prime factors of 1446 are 2, 3, and 241.
The prime factorization of 1446 is: 2 × 3 × 241.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1446 is divided by 2 to get 723.
Step 2: Now divide 723 by 3 to get 241.
Here, 241 is a prime number and cannot be divided further.
So, the prime factorization of 1446 is: 2 × 3 × 241.
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 1446: (1, 1446), (2, 723), (3, 482), and (6, 241).
Negative factor pairs of 1446: (-1, -1446), (-2, -723), (-3, -482), and (-6, -241).
Common Mistakes and How to Avoid Them in Factors of 1446
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 1446, 1 and 1446 are also factors.
Factors of 1446 Examples
Problem 1
There are 6 teams and 1446 points. How will they distribute it equally?
They will get 241 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1446/6=241
Problem 2
A garden is rectangular, the length of the garden is 6 meters and the total area is 1446 square meters. Find the width?
241 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1446 = 6 × width
To find the value of width, we need to shift 6 to the left side.
1446/6 = width
Width = 241.
Problem 3
There are 3 boxes and 1446 candies. How many candies will be in each box?
Each box will have 482 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1446/3=482
Problem 4
In a concert, there are 1446 seats, and 2 sections. How many seats are there in each section?
There are 723 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1446/2=723
Problem 5
1446 books need to be arranged in 241 shelves. How many books will go on each shelf?
Each of the shelves has 6 books.
Explanation
Divide total books by shelves.
1446/241=6
FAQs on Factors of 1446
1.What are the factors of 1446?
2.Mention the prime factors of 1446.
3.Is 1446 a multiple of 3?
4.Mention the factor pairs of 1446?
5.What is the square of 1446?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1446?
7.What are some fun ways kids in Vietnam can practice Factors of 1446 with numbers?
8.What role do numbers and Factors of 1446 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1446 skills?
Important Glossary for Factors of 1446
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1446 are 1, 2, 3, 6, 241, 482, 723, and 1446.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 241 are prime factors of 1446.
- 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 1446 are (1, 1446), (2, 723), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1446 is 2 × 3 × 241.
- Multiplication method: A method for finding factors by identifying pairs of numbers that multiply to the original number.
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About BrightChamps in Vietnam
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.
