103 LearnersLast updated on May 26th, 2025
Factors of 1443
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1443, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1443?
The numbers that divide 1443 evenly are known as factors of 1443.
A factor of 1443 is a number that divides the number without remainder.
The factors of 1443 are 1, 3, 7, 21, 59, 177, 481, and 1443.
Negative factors of 1443: -1, -3, -7, -21, -59, -177, -481, and -1443.
Prime factors of 1443: 3, 7, and 59.
Prime factorization of 1443: 3 × 7 × 59.
The sum of factors of 1443: 1 + 3 + 7 + 21 + 59 + 177 + 481 + 1443 = 2192
How to Find Factors of 1443?
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 1443. Identifying the numbers which are multiplied to get the number 1443 is the multiplication method.
Step 1: Multiply 1443 by 1, 1443 × 1 = 1443.
Step 2: Check for other numbers that give 1443 after multiplying
3 × 481 = 1443
7 × 207 = 1443
21 × 69 = 1443
59 × 24.4407 = 1443 (Skip as it is not an integer)
Therefore, the positive factor pairs of 1443 are: (1, 1443), (3, 481), (7, 207), (21, 69).
All these factor pairs result in 1443.
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1443 by 1, 1443 ÷ 1 = 1443.
Step 2: Continue dividing 1443 by the numbers until the remainder becomes 0.
1443 ÷ 1 = 1443
1443 ÷ 3 = 481
1443 ÷ 7 = 207
1443 ÷ 21 = 69
Therefore, the factors of 1443 are: 1, 3, 7, 21, 59, 177, 481, 1443.
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 1443 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1443 ÷ 3 = 481
481 ÷ 7 = 69
69 ÷ 59 = 1
The prime factors of 1443 are 3, 7, and 59.
The prime factorization of 1443 is: 3 × 7 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1443 is divided by 3 to get 481.
Step 2: Now divide 481 by 7 to get 69.
Step 3: Divide 69 by 59 to get 1.
Here, 59 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1443 is: 3 × 7 × 59.
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 1443: (1, 1443), (3, 481), (7, 207), and (21, 69).
Negative factor pairs of 1443: (-1, -1443), (-3, -481), (-7, -207), and (-21, -69).
Common Mistakes and How to Avoid Them in Factors of 1443
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1443, 1 and 1443 is also a factor.
Factors of 1443 Examples
Problem 1
A baker has 1443 loaves of bread. They want to pack them into boxes of 21 loaves each. How many boxes will they need?
They will need 69 boxes.
Explanation
To find the number of boxes needed, divide the total loaves by the number of loaves per box.
1443/21 = 69
Problem 2
A park has an area of 1443 square meters and a width of 59 meters. What is the length of the park?
The length of the park is 24.4407 meters.
Explanation
To find the length of the park, use the formula,
Area = length × width
1443 = length × 59
To find the value of the length, divide the area by the width.
1443/59 = 24.4407
Problem 3
There are 207 students and they need to be divided evenly into groups. If each group has 7 students, how many groups will there be?
There will be 29 groups.
Explanation
To find the number of groups, divide the total students by the number of students per group.
207/7 = 29
Problem 4
A library has 1443 books and wants to organize them into sections with each section containing 3 books. How many sections will they have?
There will be 481 sections.
Explanation
Divide the total number of books by the number of books per section.
1443/3 = 481
Problem 5
A conference has 1443 attendees and is divided into rooms with 69 attendees each. How many rooms are needed?
21 rooms are needed.
Explanation
Divide the total attendees by the number of attendees per room.
1443/69 = 21
FAQs on Factors of 1443
1.What are the factors of 1443?
2.Mention the prime factors of 1443.
3.Is 1443 a multiple of 3?
4.Mention the factor pairs of 1443?
5.What is the square of 1443?
6.How can children in Canada use numbers in everyday life to understand Factors of 1443?
7.What are some fun ways kids in Canada can practice Factors of 1443 with numbers?
8.What role do numbers and Factors of 1443 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1443 skills?
Important Glossaries for Factor of 1443
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1443 are 1, 3, 7, 21, 59, 177, 481, and 1443.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 59 are prime factors of 1443.
- 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 1443 are (1, 1443), (3, 481), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1443 is 3 × 7 × 59.
- Negative factors: The negative counterparts of the positive factors of a number. For example, the negative factors of 1443 are -1, -3, -7, -21, -59, -177, -481, and -1443.
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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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