132 LearnersLast updated on May 26th, 2025
Factors of 962
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 962, how they are used in real life, and tips to learn them quickly.
What are the Factors of 962?
The numbers that divide 962 evenly are known as factors of 962.
A factor of 962 is a number that divides the number without remainder.
The factors of 962 are 1, 2, 481, and 962.
Negative factors of 962: -1, -2, -481, and -962.
Prime factors of 962: 2 and 481.
Prime factorization of 962: 2 × 481.
The sum of factors of 962: 1 + 2 + 481 + 962 = 1446
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How to Find Factors of 962?
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 962. Identifying the numbers which are multiplied to get the number 962 is the multiplication method.
Step 1: Multiply 962 by 1, 962 × 1 = 962.
Step 2: Check for other numbers that give 962 after multiplying 2 × 481 = 962
Therefore, the positive factor pairs of 962 are: (1, 962) and (2, 481).
All these factor pairs result in 962.
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 962 by 1,
962 ÷ 1 = 962.
Step 2: Continue dividing 962 by the numbers until the remainder becomes 0.
962 ÷ 1 = 962
962 ÷ 2 = 481
Therefore, the factors of 962 are: 1, 2, 481, and 962.
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 962 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
962 ÷ 2 = 481 481 is a prime number, so it remains as it is.
The prime factors of 962 are 2 and 481.
The prime factorization of 962 is: 2 × 481.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 962 is divided by 2 to get 481.
Step 2: 481 is a prime number and cannot be divided further.
So, the prime factorization of 962 is: 2 × 481.
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 962: (1, 962) and (2, 481).
Negative factor pairs of 962: (-1, -962) and (-2, -481).
Common Mistakes and How to Avoid Them in Factors of 962
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 962, 1 and 962 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 962 consist of -1, -2, -481, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 962/1.5 ≈ 641.33, 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 962 are prime numbers.
For example, 2 and 481 are the prime factors of 962, but it has other factors like 1 and 962.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 962 into 2 × 481 and missing all the key factors.
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Factors of 962 Examples
Problem 1
There are 2 teams and 962 points. How will they divide it equally?
Each team will get 481 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
962/2 = 481
Problem 2
A rectangular banner has a length of 2 meters and a total area of 962 square meters. Find the width.
The width is 481 meters.
Explanation
To find the width of the banner, we use the formula, Area = length × width 962 = 2 × width
To find the value of width, we need to shift 2 to the left side.
962/2 = width
Width = 481.
Problem 3
There are 481 books and 962 shelves. How many shelves will each book cover?
Each book will cover approximately 2 shelves.
Explanation
To find the number of shelves each book will cover, divide the total shelves by the number of books.
962/481 ≈ 2
Problem 4
A company has 962 employees and 481 departments. How many employees are there in each department?
There are 2 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department.
962/481 = 2
Problem 5
962 apples need to be packed into 2 boxes. How many apples will go in each box?
Each box will have 481 apples.
Explanation
Divide the total apples by the number of boxes.
962/2 = 481
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FAQs on Factors of 962
1.What are the factors of 962?
2.Mention the prime factors of 962.
3.Is 962 a multiple of 2?
4.Mention the factor pairs of 962.
5.What is the square of 962?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 962?
7.What are some fun ways kids in Vietnam can practice Factors of 962 with numbers?
8.What role do numbers and Factors of 962 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 962 skills?
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Important Glossaries for Factors of 962
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 962 are 1, 2, 481, and 962.
- Prime factors: The factors which are prime numbers. For example, 2 and 481 are prime factors of 962.
- 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 962 are (1, 962) and (2, 481).
- Multiple: A number that can be divided by another number without a remainder. For example, 962 is a multiple of 2.
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 481 is a prime number.
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About BrightChamps in Vietnam
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.
