142 LearnersLast updated on May 26th, 2025
Factors of 964
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 964, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 964?
The numbers that divide 964 evenly are known as factors of 964.
A factor of 964 is a number that divides the number without remainder.
The factors of 964 are 1, 2, 4, 241, 482, and 964.
Negative factors of 964: -1, -2, -4, -241, -482, and -964.
Prime factors of 964: 2 and 241.
Prime factorization of 964: 22 × 241.
The sum of factors of 964: 1 + 2 + 4 + 241 + 482 + 964 = 1694
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How to Find Factors of 964?
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 964. Identifying the numbers which are multiplied to get the number 964 is the multiplication method.
Step 1: Multiply 964 by 1, 964 × 1 = 964.
Step 2: Check for other numbers that give 964 after multiplying
2 × 482 = 964
4 × 241 = 964
Therefore, the positive factor pairs of 964 are: (1, 964), (2, 482), (4, 241).
All these factor pairs result in 964.
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 964 by 1, 964 ÷ 1 = 964.
Step 2: Continue dividing 964 by the numbers until the remainder becomes 0.
964 ÷ 1 = 964
964 ÷ 2 = 482
964 ÷ 4 = 241
Therefore, the factors of 964 are: 1, 2, 4, 241, 482, 964.
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 964 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
964 ÷ 2 = 482
482 ÷ 2 = 241
241 ÷ 241 = 1
The prime factors of 964 are 2 and 241. The prime factorization of 964 is: 2^2 × 241.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 964 is divided by 2 to get 482.
Step 2: Now divide 482 by 2 to get 241.
Step 3: 241 is a prime number, so it cannot be divided further.
So, the prime factorization of 964 is: 22 × 241.
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 964: (1, 964), (2, 482), (4, 241).
Negative factor pairs of 964: (-1, -964), (-2, -482), (-4, -241).
Common Mistakes and How to Avoid Them in Factors of 964
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 964, 1 and 964 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 964 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 964/1.5 = 642.666, 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 964 are prime numbers.
For example, 2 and 241 are the prime factors of 964, but it has other factors like 4, 482.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 964 as 2^2 × 241 and missing all the key factors.
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Factors of 964 Examples
Problem 1
There are 4 people and 964 apples. How will they divide them equally?
They will get 241 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of people.
964/4 = 241
Problem 2
A rectangular garden has a length of 482 meters, and the total area is 964 square meters. Find the width?
2 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 964 = 482 × width
To find the value of width, we need to shift 482 to the left side.
964/482 = width
Width = 2.
Problem 3
There are 964 pages to be printed, and each printer can print 482 pages. How many printers are needed?
2 printers are needed.
Explanation
To find the number of printers needed, divide the total pages by the pages each printer can print.
964/482 = 2
Problem 4
In a class, there are 964 students, and they need to form groups of 482. How many groups can be formed?
2 groups can be formed.
Explanation
Dividing the students by the group size, we will get the number of groups.
964/482 = 2
Problem 5
964 books need to be arranged in sets of 241. How many sets will there be?
There will be 4 sets.
Explanation
Divide total books by the number in each set.
964/241 = 4
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FAQs on Factors of 964
1.What are the factors of 964?
2.Mention the prime factors of 964.
3.Is 964 a multiple of 2?
4.Mention the factor pairs of 964?
5.What is the square of 964?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 964?
7.What are some fun ways kids in Vietnam can practice Factors of 964 with numbers?
8.What role do numbers and Factors of 964 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 964 skills?
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Important Glossaries for Factor of 964
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 964 are 1, 2, 4, 241, 482, and 964.
- Prime factors: The factors which are prime numbers. For example, 2 and 241 are prime factors of 964.
- 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 964 are (1, 964), (2, 482), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For instance, the prime factorization of 964 is 2^2 × 241.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to give the original number, such as finding factors of 964 through multiplication pairs.
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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.
