100 LearnersLast updated on May 26th, 2025
Factors of 10648
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 10648, how they are used in real life, and tips to learn them quickly.
What are the Factors of 10648?
The numbers that divide 10648 evenly are known as factors of 10648.
A factor of 10648 is a number that divides the number without a remainder.
The factors of 10648 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968, 1331, 2662, 5324, and 10648.
Negative factors of 10648: -1, -2, -4, -8, -11, -22, -44, -88, -121, -242, -484, -968, -1331, -2662, -5324, and -10648.
Prime factors of 10648: 2 and 11.
Prime factorization of 10648: 2³ × 11³.
The sum of factors of 10648: 1 + 2 + 4 + 8 + 11 + 22 + 44 + 88 + 121 + 242 + 484 + 968 + 1331 + 2662 + 5324 + 10648 = 20162
How to Find Factors of 10648?
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 10648. Identifying the numbers which are multiplied to get the number 10648 is the multiplication method.
Step 1: Multiply 10648 by 1, 10648 × 1 = 10648.
Step 2: Check for other numbers that give 10648 after multiplying
2 × 5324 = 10648
4 × 2662 = 10648
8 × 1331 = 10648
11 × 968 = 10648
22 × 484 = 10648
44 × 242 = 10648
88 × 121 = 10648
Therefore, the positive factor pairs of 10648 are: (1, 10648), (2, 5324), (4, 2662), (8, 1331), (11, 968), (22, 484), (44, 242), (88, 121). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 10648 by 1, 10648 ÷ 1 = 10648.
Step 2: Continue dividing 10648 by the numbers until the remainder becomes 0.
10648 ÷ 1 = 10648
10648 ÷ 2 = 5324
10648 ÷ 4 = 2662
10648 ÷ 8 = 1331
10648 ÷ 11 = 968
10648 ÷ 22 = 484
10648 ÷ 44 = 242
10648 ÷ 88 = 121
Therefore, the factors of 10648 are: 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968, 1331, 2662, 5324, 10648.
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 10648 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
10648 ÷ 2 = 5324
5324 ÷ 2 = 2662
2662 ÷ 2 = 1331
1331 ÷ 11 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factors of 10648 are 2 and 11.
The prime factorization of 10648 is: 2³ × 11³.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 10648 is divided by 2 to get 5324.
Step 2: Now divide 5324 by 2 to get 2662.
Step 3: Then divide 2662 by 2 to get 1331.
Step 4: Divide 1331 by 11 to get 121.
Step 5: Divide 121 by 11 to get 11.
Here, 11 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 10648 is: 2³ × 11³.
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 10648: (1, 10648), (2, 5324), (4, 2662), (8, 1331), (11, 968), (22, 484), (44, 242), (88, 121).
Negative factor pairs of 10648: (-1, -10648), (-2, -5324), (-4, -2662), (-8, -1331), (-11, -968), (-22, -484), (-44, -242), (-88, -121).
Common Mistakes and How to Avoid Them in Factors of 10648
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 10648, 1 and 10648 are also factors.
Factors of 10648 Examples
Problem 1
There are 4 friends and 10648 marbles. How will they divide them equally?
They will get 2662 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
10648/4 = 2662
Problem 2
A garden is rectangular, the length of the garden is 44 meters and the total area is 10648 square meters. Find the width?
242 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
10648 = 44 × width
To find the value of width, we need to shift 44 to the left side.
10648/44 = width
Width = 242.
Problem 3
There are 22 containers and 10648 liters of water. How many liters will be in each container?
Each container will have 484 liters.
Explanation
To find the liters in each container, divide the total liters by the number of containers.
10648/22 = 484
Problem 4
In a class, there are 10648 students, and 88 groups. How many students are there in each group?
There are 121 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
10648/88 = 121
Problem 5
10648 apples need to be arranged in 121 baskets. How many apples will go in each basket?
Each of the baskets has 88 apples.
Explanation
Divide total apples by the baskets.
10648/121 = 88
FAQs on Factors of 10648
1.What are the factors of 10648?
2.Mention the prime factors of 10648.
3.Is 10648 a multiple of 44?
4.Mention the factor pairs of 10648?
5.What is the cube of 11?
6.How can children in Qatar use numbers in everyday life to understand Factors of 10648?
7.What are some fun ways kids in Qatar can practice Factors of 10648 with numbers?
8.What role do numbers and Factors of 10648 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 10648 skills?
Important Glossaries for Factors of 10648
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 10648 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968, 1331, 2662, 5324, and 10648.
- Prime factors: The factors which are prime numbers. For example, 2 and 11 are prime factors of 10648.
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 10648 is 2³ × 11³.
- 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 10648 are (1, 10648), (2, 5324), etc.
- Multiple: A number that can be divided by another number without a remainder. For example, 10648 is a multiple of 44.
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About BrightChamps in Qatar
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.
