101 LearnersLast updated on May 26th, 2025
Factors of 1442
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 1442, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1442?
The numbers that divide 1442 evenly are known as factors of 1442.
A factor of 1442 is a number that divides the number without remainder.
The factors of 1442 are 1, 2, 721, and 1442.
Negative factors of 1442: -1, -2, -721, and -1442.
Prime factors of 1442: 2 and 721.
Prime factorization of 1442: 2 × 721.
The sum of factors of 1442: 1 + 2 + 721 + 1442 = 2166
How to Find Factors of 1442?
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 1442. Identifying the numbers which are multiplied to get the number 1442 is the multiplication method.
Step 1: Multiply 1442 by 1, 1442 × 1 = 1442.
Step 2: Check for other numbers that give 1442 after multiplying
2 × 721 = 1442
Therefore, the positive factor pairs of 1442 are: (1, 1442) and (2, 721).
All these factor pair result in 1442.
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 simple division method -
Step 1: Divide 1442 by 1, 1442 ÷ 1 = 1442.
Step 2: Continue dividing 1442 by the numbers until the remainder becomes 0.
1442 ÷ 1 = 1442
1442 ÷ 2 = 721
Therefore, the factors of 1442 are: 1, 2, 721, 1442.
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 1442 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1442 ÷ 2 = 721
721 ÷ 721 = 1
The prime factors of 1442 are 2 and 721.
The prime factorization of 1442 is: 2 × 721.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1442 is divided by 2 to get 721.
Step 2: Here, 721 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1442 is: 2 × 721.
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 1442: (1, 1442) and (2, 721).
Negative factor pairs of 1442: (-1, -1442) and (-2, -721).
Common Mistakes and How to Avoid Them in Factors of 1442
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 1442, 1 and 1442 are also factors.
Factors of 1442 Examples
Problem 1
There are 2 buses and 1442 passengers. How will they divide it equally?
They will get 721 passengers each.
Explanation
To divide the passengers equally, we need to divide the total passengers with the number of buses.
1442/2 = 721
Problem 2
A rectangle has a length of 721 meters and the total area is 1442 square meters. Find the width?
2 meters.
Explanation
To find the width of the rectangle, we use the formula,
Area = length × width
1442 = 721 × width
To find the value of width, we need to shift 721 to the left side.
1442/721 = width
Width = 2.
Problem 3
There are 1442 candies and 721 boxes. How many candies will be in each box?
Each box will have 2 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
1442/721 = 2
Problem 4
In a theater, there are 1442 seats, and 721 rows. How many seats are there in each row?
There are 2 seats in each row.
Explanation
Dividing the seats with the total rows, we will get the number of seats in each row.
1442/721 = 2
Problem 5
1442 pages need to be arranged in 2 folders. How many pages will go in each folder?
Each of the folders has 721 pages.
Explanation
Divide total pages with folders.
1442/2 = 721
FAQs on Factors of 1442
1.What are the factors of 1442?
2.Mention the prime factors of 1442.
3.Is 1442 a multiple of 2?
4.Mention the factor pairs of 1442?
5.What is the square of 1442?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1442?
7.What are some fun ways kids in Vietnam can practice Factors of 1442 with numbers?
8.What role do numbers and Factors of 1442 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1442 skills?
Important Glossaries for Factor of 1442
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1442 are 1, 2, 721, and 1442.
- Prime factors: The factors which are prime numbers. For example, 2 and 721 are prime factors of 1442.
- 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 1442 are (1, 1442) and (2, 721).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1442 is 2 × 721.
- Negative factors: The negative counterparts of the factors of a number. For example, the negative factors of 1442 are -1, -2, -721, and -1442.
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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.
