100 LearnersLast updated on May 26th, 2025
Factors of 1382
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 1382, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1382?
The numbers that divide 1382 evenly are known as factors of 1382.
A factor of 1382 is a number that divides the number without remainder.
The factors of 1382 are 1, 2, 691, and 1382.
Negative factors of 1382: -1, -2, -691, and -1382.
Prime factors of 1382: 2 and 691.
Prime factorization of 1382: 2 × 691.
The sum of factors of 1382: 1 + 2 + 691 + 1382 = 2076
How to Find Factors of 1382?
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 1382. Identifying the numbers that are multiplied to get the number 1382 is the multiplication method.
Step 1: Multiply 1382 by 1, 1382 × 1 = 1382.
Step 2: Check for other numbers that give 1382 after multiplying 2 × 691 = 1382
Therefore, the positive factor pairs of 1382 are: (1, 1382) and (2, 691).
All these factor pairs result in 1382.
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 result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1382 by 1, 1382 ÷ 1 = 1382.
Step 2: Continue dividing 1382 by the numbers until the remainder becomes 0.
1382 ÷ 1 = 1382
1382 ÷ 2 = 691
Therefore, the factors of 1382 are: 1, 2, 691, and 1382.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1382 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1382 ÷ 2 = 691
691 ÷ 691 = 1
The prime factors of 1382 are 2 and 691.
The prime factorization of 1382 is: 2 × 691.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1382 is divided by 2 to get 691.
Step 2: Here, 691 is a prime number, and it cannot be divided further.
So, the prime factorization of 1382 is: 2 × 691.
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 1382: (1, 1382) and (2, 691).
Negative factor pairs of 1382: (-1, -1382) and (-2, -691).
Common Mistakes and How to Avoid Them in Factors of 1382
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 1382, 1 and 1382 are also factors.
Factors of 1382 Examples
Problem 1
There are 2 friends and 1382 apples. How will they divide it equally?
They will get 691 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
1382/2 = 691
Problem 2
A rectangular plot has a width of 2 meters and the total area is 1382 square meters. Find the length?
691 meters.
Explanation
To find the length of the plot, we use the formula, Area = length × width 1382 = length × 2
To find the value of length, we need to shift 2 to the left side.
1382/2 = length
Length = 691.
Problem 3
There are 691 bags and 1382 candies. How many candies will be in each bag?
Each bag will have 2 candies.
Explanation
To find the candies in each bag, divide the total candies with the number of bags.
1382/691 = 2
Problem 4
In a class, there are 1382 students, and 2 groups. How many students are there in each group?
There are 691 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1382/2 = 691
Problem 5
1382 books need to be arranged in 691 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books with shelves.
1382/691 = 2
FAQs on Factors of 1382
1.What are the factors of 1382?
2.Mention the prime factors of 1382.
3.Is 1382 a multiple of 2?
4.Mention the factor pairs of 1382?
5.What is the square of 1382?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1382?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1382 with numbers?
8.What role do numbers and Factors of 1382 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1382 skills?
Important Glossaries for Factors of 1382
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1382 are 1, 2, 691, and 1382.
- Prime factors: The factors which are prime numbers. For example, 2 and 691 are prime factors of 1382.
- 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 1382 are (1, 1382) and (2, 691).
- Prime factorization: The process of expressing a number as the product of its prime factors. For 1382, it is 2 × 691.
- Multiple: A number that can be divided by another number without a remainder. For example, 1382 is a multiple of 2.
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About BrightChamps in United Arab Emirates
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.
