101 LearnersLast updated on May 26th, 2025
Factors of 1441
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 1441, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1441?
The numbers that divide 1441 evenly are known as factors of 1441.
A factor of 1441 is a number that divides the number without remainder.
The factors of 1441 are 1, 37, 39, and 1441.
Negative factors of 1441: -1, -37, -39, and -1441.
Prime factors of 1441: 37 and 39.
Prime factorization of 1441: 37 × 39.
The sum of factors of 1441: 1 + 37 + 39 + 1441 = 1518
How to Find Factors of 1441?
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 1441. Identifying the numbers which are multiplied to get the number 1441 is the multiplication method.
Step 1: Multiply 1441 by 1, 1441 × 1 = 1441.
Step 2: Check for other numbers that give 1441 after multiplying
37 × 39 = 1441
Therefore, the positive factor pairs of 1441 are: (1, 1441), (37, 39).
All these factor pairs result in 1441.
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 the simple division method -
Step 1: Divide 1441 by 1, 1441 ÷ 1 = 1441.
Step 2: Continue dividing 1441 by the numbers until the remainder becomes 0.
1441 ÷ 1 = 1441
1441 ÷ 37 = 39
Therefore, the factors of 1441 are: 1, 37, 39, 1441.
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 factor tree
Using Prime Factorization: In this process, prime factors of 1441 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1441 ÷ 37 = 39
The prime factors of 1441 are 37 and 39.
The prime factorization of 1441 is: 37 × 39.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
The following step shows - Step 1: Firstly, 1441 is divided by 37 to get 39.
Here, 39 is the smallest composite number that can be further broken down into 3 and 13.
So, the prime factorization of 1441 is: 37 × 3 × 13.
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 1441: (1, 1441), (37, 39).
Negative factor pairs of 1441: (-1, -1441), (-37, -39).
Common Mistakes and How to Avoid Them in Factors of 1441
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 1441, 1 and 1441 are also factors.
Factors of 1441 Examples
Problem 1
There are 1441 apples to distribute among 37 baskets. How many apples will each basket receive?
Each basket will receive 39 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1441/37 = 39
Problem 2
A rectangular garden has a total area of 1441 square meters and a width of 39 meters. Find the length.
37 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1441 = length × 39
To find the value of length, divide the area by the width.
1441/39 = length
Length = 37.
Problem 3
There are 1441 marbles and 13 bags. How many marbles will be in each bag?
Each bag will have 111 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags.
1441/13 = 111
Problem 4
A concert has 1441 seats and 37 rows. How many seats are in each row?
There are 39 seats in each row.
Explanation
Dividing the total seats by the number of rows, we find the number of seats in each row.
1441/37 = 39
Problem 5
1441 pages of a book need to be bound into 39 volumes. How many pages will go into each volume?
Each volume will have 37 pages.
Explanation
Divide the total pages by the number of volumes.
1441/39 = 37
FAQs on Factors of 1441
1.What are the factors of 1441?
2.Mention the prime factors of 1441.
3.Is 1441 a multiple of 37?
4.Mention the factor pairs of 1441.
5.What is the square of 1441?
6.How can children in Canada use numbers in everyday life to understand Factors of 1441?
7.What are some fun ways kids in Canada can practice Factors of 1441 with numbers?
8.What role do numbers and Factors of 1441 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1441 skills?
Important Glossaries for Factor of 1441
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1441 are 1, 37, 39, and 1441.
- Prime factors: The factors which are prime numbers. For example, 37 is a prime factor of 1441.
- 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 1441 are (1, 1441), (37, 39).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1441 is 37 × 39.
- Composite number: A number with more than two factors. For example, 39 is a composite number.
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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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