Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 673 apples and 1346 seeds. How will they plant it equally?
They will plant 2 seeds with each apple.
To plant the seeds equally, we need to divide the total seeds with the number of apples.
1346/673 = 2
A rectangular field has a length of 1346 meters and a total area of 2692 square meters. Find the width.
2 meters.
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.
There are 1346 balloons and 673 people. How many balloons will each person get?
Each person will get 2 balloons.
To find the balloons each person will get, divide the total number of balloons by the number of people.
1346/673 = 2
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.
Dividing the students with the total groups, we will get the number of students in each group.
1346/673 = 2
1346 books need to be arranged in 673 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Divide total books with shelves.
1346/673 = 2
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.
: She loves to read number jokes and games.