118 LearnersLast updated on May 26th, 2025
Factors of 1346
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 1346, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1346?
The numbers that divide 1346 evenly are known as factors of 1346.
A factor of 1346 is a number that divides the number without remainder.
The factors of 1346 are 1, 2, 673, and 1346.
Negative factors of 1346: -1, -2, -673, and -1346.
Prime factors of 1346: 2 and 673.
Prime factorization of 1346: 2 × 673.
The sum of factors of 1346: 1 + 2 + 673 + 1346 = 2022
How to Find Factors of 1346?
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 1346. Identifying the numbers which are multiplied to get the number 1346 is the multiplication method.
Step 1: Multiply 1346 by 1, 1346 × 1 = 1346.
Step 2: Check for other numbers that give 1346 after multiplying 2 × 673 = 1346
Therefore, the positive factor pairs of 1346 are: (1, 1346) and (2, 673).
All these factor pairs result in 1346.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 a simple division method
Step 1: Divide 1346 by 1, 1346 ÷ 1 = 1346.
Step 2: Continue dividing 1346 by the numbers until the remainder becomes 0.
1346 ÷ 1 = 1346
1346 ÷ 2 = 673
Therefore, the factors of 1346 are: 1, 2, 673, and 1346.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1346 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1346 ÷ 2 = 673
673 ÷ 673 = 1
The prime factors of 1346 are 2 and 673.
The prime factorization of 1346 is: 2 × 673.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1346 is divided by 2 to get 673. Here, 673 is a prime number that cannot be divided anymore. So, the prime factorization of 1346 is: 2 × 673.
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 1346: (1, 1346) and (2, 673).
Negative factor pairs of 1346: (-1, -1346) and (-2, -673).
Common Mistakes and How to Avoid Them in Factors of 1346
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 1346, 1 and 1346 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 1346 consist of -1, -2, -673, 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 1346/1.5 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 1346 are prime numbers.
For example, 2 and 673 are the prime factors of 1346, but it has other factors like 1, 1346.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1346 as 2 × 673 and missing all the key factors.
Factors of 1346 Examples
Problem 1
There are 673 apples and 1346 seeds. How will they plant it equally?
They will plant 2 seeds with each apple.
Explanation
To plant the seeds equally, we need to divide the total seeds with the number of apples.
1346/673 = 2
Problem 2
A rectangular field has a length of 1346 meters and a total area of 2692 square meters. Find the width.
2 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
2692 = 1346 × width
To find the value of width, we need to shift 1346 to the left side.
2692/1346 = width
Width = 2.
Problem 3
There are 1346 balloons and 673 people. How many balloons will each person get?
Each person will get 2 balloons.
Explanation
To find the balloons each person will get, divide the total number of balloons by the number of people.
1346/673 = 2
Problem 4
In a class, there are 1346 students, and 673 groups. How many students are there in each group?
There are 2 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1346/673 = 2
Problem 5
1346 books need to be arranged in 673 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books with shelves.
1346/673 = 2
FAQs on Factors of 1346
1.What are the factors of 1346?
2.Mention the prime factors of 1346.
3.Is 1346 a multiple of 2?
4.Mention the factor pairs of 1346?
5.What is the square of 1346?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1346?
7.What are some fun ways kids in Qatar can practice Factors of 1346 with numbers?
8.What role do numbers and Factors of 1346 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1346 skills?
Important Glossaries for Factors of 1346
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1346 are 1, 2, 673, and 1346.
- Prime factors: The factors which are prime numbers. For example, 2 and 673 are prime factors of 1346.
- 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 1346 are (1, 1346) and (2, 673).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1346 is 2 × 673.
- Negative factors: Negative numbers that divide the given number without leaving a remainder. For example, the negative factors of 1346 are -1, -2, -673, and -1346.
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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.
