120 LearnersLast updated on May 26th, 2025
Factors of 1342
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 1342, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1342?
The numbers that divide 1342 evenly are known as factors of 1342.
A factor of 1342 is a number that divides the number without remainder.
The factors of 1342 are 1, 2, 671, and 1342.
Negative factors of 1342: -1, -2, -671, and -1342.
Prime factors of 1342: 2 and 671.
Prime factorization of 1342: 2 × 671.
The sum of factors of 1342: 1 + 2 + 671 + 1342 = 2016
How to Find Factors of 1342?
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 1342. Identifying the numbers which are multiplied to get the number 1342 is the multiplication method.
Step 1: Multiply 1342 by 1, 1342 × 1 = 1342.
Step 2: Check for other numbers that give 1342 after multiplying 2 × 671 = 1342
Therefore, the positive factor pairs of 1342 are: (1, 1342), (2, 671).
All these factor pairs result in 1342.
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 a whole numbers as factors.
Factors can be calculated by following a simple division method
Step 1: Divide 1342 by 1, 1342 ÷ 1 = 1342.
Step 2: Continue dividing 1342 by the numbers until the remainder becomes 0.
1342 ÷ 1 = 1342
1342 ÷ 2 = 671
Therefore, the factors of 1342 are: 1, 2, 671, 1342.
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 1342 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1342 ÷ 2 = 671
671 is a prime number, so we stop here.
The prime factors of 1342 are 2 and 671.
The prime factorization of 1342 is: 2 × 671.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1342 is divided by 2 to get 671. Here, 671 is a prime number and cannot be divided further. So, the prime factorization of 1342 is: 2 × 671.
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 1342: (1, 1342), (2, 671).
Negative factor pairs of 1342: (-1, -1342), (-2, -671).
Common Mistakes and How to Avoid Them in Factors of 1342
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 1342, 1 and 1342 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1342 consist of -1, -2, -671, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1342/1.5 = 894.6667, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1342 are prime numbers.
For example, 2 and 671 are the prime factors of 1342, but it has other factors like 1342 itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1342 as 2 × 671 and missing all the key factors.
Factors of 1342 Examples
Problem 1
A garden has 671 flowers and 2 gardeners. How many flowers will each gardener take care of equally?
Each gardener will take care of 335.5 flowers.
Explanation
Since each gardener needs to take care of an equal number of flowers, divide the total flowers by the number of gardeners.
671/2 = 335.5
Problem 2
An art piece is rectangular, the length of the art piece is 2 meters and the total area is 1342 square meters. Find the width?
671 meters.
Explanation
To find the width of the art piece, we use the formula,
Area = length × width
1342 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1342/2 = width Width = 671.
Problem 3
There are 1342 apples and 1 basket. How many apples will be in the basket?
The basket will have 1342 apples.
Explanation
To find the apples in the basket, divide the total apples by the number of baskets.
1342/1 = 1342
Problem 4
A library has 1342 books, and each shelf holds 671 books. How many shelves are there?
There are 2 shelves.
Explanation
Dividing the total books by the books each shelf holds, we get the number of shelves.
1342/671 = 2
Problem 5
1342 coins need to be arranged in 2 boxes. How many coins will go in each box?
Each of the boxes has 671 coins.
Explanation
Divide total coins by the number of boxes.
1342/2 = 671
FAQs on Factors of 1342
1.What are the factors of 1342?
2.Mention the prime factors of 1342.
3.Is 1342 a multiple of 2?
4.Mention the factor pairs of 1342?
5.What is the square of 1342?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1342?
7.What are some fun ways kids in Qatar can practice Factors of 1342 with numbers?
8.What role do numbers and Factors of 1342 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1342 skills?
Important Glossaries for Factor of 1342
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1342 are 1, 2, 671, and 1342.
- Prime factors: The factors which are prime numbers. For example, 2 and 671 are prime factors of 1342.
- 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 1342 are (1, 1342), (2, 671).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1342 is 2 × 671.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number, such as (1, 1342) for 1342.
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About BrightChamps in Qatar
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.
