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 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.
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
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 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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
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
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.
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.
There are 1342 apples and 1 basket. How many apples will be in the basket?
The basket will have 1342 apples.
To find the apples in the basket, divide the total apples by the number of baskets.
1342/1 = 1342
A library has 1342 books, and each shelf holds 671 books. How many shelves are there?
There are 2 shelves.
Dividing the total books by the books each shelf holds, we get the number of shelves.
1342/671 = 2
1342 coins need to be arranged in 2 boxes. How many coins will go in each box?
Each of the boxes has 671 coins.
Divide total coins by the number of boxes.
1342/2 = 671
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.