101 LearnersLast updated on May 26th, 2025
Factors of 1340
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 1340, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1340?
The numbers that divide 1340 evenly are known as factors of 1340.
A factor of 1340 is a number that divides the number without a remainder.
The factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, and 1340.
Negative factors of 1340: -1, -2, -4, -5, -10, -20, -67, -134, -268, -335, -670, and -1340.
Prime factors of 1340: 2, 5, and 67.
Prime factorization of 1340: 22 × 5 × 67.
The sum of factors of 1340: 1 + 2 + 4 + 5 + 10 + 20 + 67 + 134 + 268 + 335 + 670 + 1340 = 2856
How to Find Factors of 1340?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1340. Identifying the numbers which are multiplied to get the number 1340 is the multiplication method.
Step 1: Multiply 1340 by 1, 1340 × 1 = 1340.
Step 2: Check for other numbers that give 1340 after multiplying
2 × 670 = 1340
4 × 335 = 1340
5 × 268 = 1340
10 × 134 = 1340
20 × 67 = 1340
Therefore, the positive factor pairs of 1340 are: (1, 1340), (2, 670), (4, 335), (5, 268), (10, 134), (20, 67).
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 1340 by 1, 1340 ÷ 1 = 1340.
Step 2: Continue dividing 1340 by the numbers until the remainder becomes 0.
1340 ÷ 1 = 1340
1340 ÷ 2 = 670
1340 ÷ 4 = 335
1340 ÷ 5 = 268
1340 ÷ 10 = 134
1340 ÷ 20 = 67
Therefore, the factors of 1340 are: 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340.
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 1340 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1340 ÷ 2 = 670
670 ÷ 2 = 335
335 ÷ 5 = 67
67 is a prime number, so the division stops here.
The prime factors of 1340 are 2, 5, and 67.
The prime factorization of 1340 is: 2^2 × 5 × 67.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1340 is divided by 2 to get 670.
Step 2: Now divide 670 by 2 to get 335.
Step 3: Then divide 335 by 5 to get 67. 67 is a prime number, so the division stops here. So, the prime factorization of 1340 is: 22 × 5 × 67.
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 1340: (1, 1340), (2, 670), (4, 335), (5, 268), (10, 134), and (20, 67).
Negative factor pairs of 1340: (-1, -1340), (-2, -670), (-4, -335), (-5, -268), (-10, -134), and (-20, -67).
Common Mistakes and How to Avoid Them in Factors of 1340
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 1340, 1 and 1340 are also factors.
Factors of 1340 Examples
Problem 1
There are 20 friends and 1340 marbles. How will they divide it equally?
They will get 67 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of friends.
1340/20 = 67
Problem 2
A garden is rectangular, the length of the garden is 10 meters and the total area is 1340 square meters. Find the width?
134 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1340 = 10 × width
To find the value of width, we need to shift 10 to the left side.
1340/10 = width
Width = 134.
Problem 3
There are 335 gift bags and 1340 candies. How many candies will be in each bag?
Each bag will have 4 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags.
1340/335 = 4
Problem 4
In a class, there are 1340 students, and 10 groups. How many students are there in each group?
There are 134 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1340/10 = 134
Problem 5
1340 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 268 books.
Explanation
Divide total books with shelves.
1340/5 = 268
FAQs on Factors of 1340
1.What are the factors of 1340?
2.Mention the prime factors of 1340.
3.Is 1340 a multiple of 4?
4.Mention the factor pairs of 1340?
5.What is the square of 1340?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 1340?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 1340 with numbers?
8.What role do numbers and Factors of 1340 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 1340 skills?
Important Glossaries for Factor of 1340
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, and 1340.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 67 are prime factors of 1340.
- 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 1340 are (1, 1340), (2, 670), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1340 is 22 × 5 × 67.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, 2 × 670 = 1340.
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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.
