100 LearnersLast updated on May 26th, 2025
Factors of 986
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 986, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 986?
The numbers that divide 986 evenly are known as factors of 986.
A factor of 986 is a number that divides the number without remainder.
The factors of 986 are 1, 2, 493, and 986.
Negative factors of 986: -1, -2, -493, and -986.
Prime factors of 986: 2 and 493.
Prime factorization of 986: 2 × 493.
The sum of factors of 986: 1 + 2 + 493 + 986 = 1482
How to Find Factors of 986?
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 986. Identifying the numbers which are multiplied to get the number 986 is the multiplication method.
Step 1: Multiply 986 by 1, 986 × 1 = 986.
Step 2: Check for other numbers that give 986 after multiplying 2 × 493 = 986
Therefore, the positive factor pairs of 986 are: (1, 986), (2, 493).
All these factor pairs result in 986.
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 simple division method
Step 1: Divide 986 by 1, 986 ÷ 1 = 986.
Step 2: Continue dividing 986 by the numbers until the remainder becomes 0.
986 ÷ 1 = 986
986 ÷ 2 = 493
Therefore, the factors of 986 are: 1, 2, 493, 986.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 986 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
986 ÷ 2 = 493
493 ÷ 493 = 1
The prime factors of 986 are 2 and 493.
The prime factorization of 986 is: 2 × 493.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 986 is divided by 2 to get 493.
Step 2: Here, 493 is a prime number, which cannot be divided further except by 1 and itself. So, the prime factorization of 986 is: 2 × 493.
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 986: (1, 986), (2, 493).
Negative factor pairs of 986: (-1, -986), (-2, -493).
Common Mistakes and How to Avoid Them in Factors of 986
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 986, 1 and 986 are also factors.
Factors of 986 Examples
Problem 1
There are 986 apples and 2 baskets. How will they divide it equally?
They will get 493 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
986/2 = 493
Problem 2
A field is rectangular, the length of the field is 493 meters and the total area is 986 square meters. Find the width?
2 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
986 = 493 × width
To find the value of width, we need to shift 493 to the left side.
986/493 = width
Width = 2.
Problem 3
There are 986 candies and 1 box. How many candies will be in the box?
The box will have 986 candies.
Explanation
To find the candies in the box, divide the total candies by the number of boxes.
986/1 = 986
Problem 4
In a class, there are 986 students, and 493 groups. How many students are there in each group?
There are 2 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
986/493 = 2
Problem 5
986 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 493 books.
Explanation
Divide total books by shelves.
986/2 = 493
FAQs on Factors of 986
1.What are the factors of 986?
2.Mention the prime factors of 986.
3.Is 986 a multiple of 2?
4.Mention the factor pairs of 986?
5.What is the square of 986?
Important Glossary for Factors of 986
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 986 are 1, 2, 493, and 986.
- Prime factors: The factors which are prime numbers. For example, 2 and 493 are prime factors of 986.
- 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 986 are (1, 986) and (2, 493).
- Multiple: A multiple of a number is the product of that number and an integer. For example, 986 is a multiple of 2.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 986 is 2 × 493.
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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.
