119 LearnersLast updated on May 26th, 2025
Factors of 982
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 982, how they are used in real life, and tips to learn them quickly.
What are the Factors of 982?
The numbers that divide 982 evenly are known as factors of 982.
A factor of 982 is a number that divides the number without remainder.
The factors of 982 are 1, 2, 491, and 982.
Negative factors of 982: -1, -2, -491, and -982.
Prime factors of 982: 2 and 491.
Prime factorization of 982: 2 × 491.
The sum of factors of 982: 1 + 2 + 491 + 982 = 1476
How to Find Factors of 982?
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 982. Identifying the numbers which are multiplied to get the number 982 is the multiplication method.
Step 1: Multiply 982 by 1, 982 × 1 = 982.
Step 2: Check for other numbers that give 982 after multiplying 2 × 491 = 982
Therefore, the positive factor pairs of 982 are: (1, 982), (2, 491). 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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 982 by 1, 982 ÷ 1 = 982.
Step 2: Continue dividing 982 by the numbers until the remainder becomes 0.
982 ÷ 1 = 982
982 ÷ 2 = 491
Therefore, the factors of 982 are: 1, 2, 491, 982.
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 982 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
982 ÷ 2 = 491
491 is a prime number and cannot be divided further.
The prime factors of 982 are 2 and 491.
The prime factorization of 982 is: 2 × 491.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 982 is divided by 2 to get 491.
Step 2: 491 is a prime number and cannot be divided further. So, the prime factorization of 982 is: 2 × 491.
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 982: (1, 982), (2, 491).
Negative factor pairs of 982: (-1, -982), (-2, -491).
Common Mistakes and How to Avoid Them in Factors of 982
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 982, 1 and 982 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 982 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 982/1.5 = 654.666, and it 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 982 are prime numbers.
For example, 2 and 491 are the prime factors of 982, but it has other factors like 1, 982.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 982 as 2 × 491 and missing all the key factors.
Factors of 982 Examples
Problem 1
There are 982 apples and 2 baskets. How will they divide it equally?
They will get 491 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
982/2 = 491
Problem 2
A rectangular garden has a length of 491 meters and a total area of 982 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
982 = 491 × width
To find the value of width, we need to shift 491 to the left side.
982/491 = width
Width = 2.
Problem 3
There are 491 students and 982 chairs. How many chairs will each student get if they are divided equally?
Each student will get 2 chairs.
Explanation
To find the chairs each student gets, divide the total chairs by the number of students.
982/491 = 2
Problem 4
A farmer has 982 seeds and wants to plant them in 491 rows. How many seeds will be in each row?
2 seeds in each row.
Explanation
Dividing the seeds by the total rows, we will get the number of seeds in each row.
982/491 = 2
Problem 5
982 books need to be distributed among 2 schools. How many books will each school receive?
Each school will receive 491 books.
Explanation
Divide total books by the number of schools.
982/2 = 491
FAQs on Factors of 982
1.What are the factors of 982?
2.Mention the prime factors of 982.
3.Is 982 a multiple of 491?
4.Mention the factor pairs of 982?
5.What is the square of 982?
6.How can children in United States use numbers in everyday life to understand Factors of 982?
7.What are some fun ways kids in United States can practice Factors of 982 with numbers?
8.What role do numbers and Factors of 982 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 982 skills?
Important Glossaries for Factors of 982
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 982 are 1, 2, 491, and 982.
- Prime factors: The factors which are prime numbers. For example, 2 and 491 are prime factors of 982.
- 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 982 are (1, 982) and (2, 491).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 982 is 2 × 491.
- Multiplication method: A way to find factor pairs by identifying two numbers that multiply to give the original number. For example, 2 × 491 = 982.
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About BrightChamps in United States
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.
