135 LearnersLast updated on May 30th, 2025
Factors of 1208
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 1208, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1208?
The numbers that divide 1208 evenly are known as factors of 1208.
A factor of 1208 is a number that divides the number without remainder.
The factors of 1208 are 1, 2, 4, 11, 22, 44, 137, 274, 548, and 1208.
Negative factors of 1208: -1, -2, -4, -11, -22, -44, -137, -274, -548, and -1208.
Prime factors of 1208: 2, 11, and 137.
Prime factorization of 1208: (22 times 11 times 137).
The sum of factors of 1208: 1 + 2 + 4 + 11 + 22 + 44 + 137 + 274 + 548 + 1208 = 2251
How to Find Factors of 1208?
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 1208. Identifying the numbers which are multiplied to get the number 1208 is the multiplication method.
Step 1: Multiply 1208 by 1, (1208 times 1 = 1208).
Step 2: Check for other numbers that give 1208 after multiplying
(2 times 604 = 1208)
(4 times 302 = 1208)
(11 times 110 = 1208)
(22 times 55 = 1208)
Therefore, the positive factor pairs of 1208 are: (1, 1208), (2, 604), (4, 302), (11, 110), (22, 55).
All these factor pairs result in 1208.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1208 by 1, (1208 div 1 = 1208).
Step 2: Continue dividing 1208 by the numbers until the remainder becomes 0.
(1208 div 1 = 1208)
(1208 div 2 = 604)
(1208 div 4 = 302)
(1208 div 11 = 110)
(1208 div 22 = 55)
Therefore, the factors of 1208 are: 1, 2, 4, 11, 22, 44, 137, 274, 548, 1208.
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 1208 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
(1208 div 2 = 604)
(604 div 2 = 302)
(302 div 2 = 151)
(151 div 11 = 13.727)
[151 is not divisible by 11] (151 div 137 = 1.102) [151 is not divisible by 137]
151 is a prime number.
The prime factors of 1208 are 2, 11, and 137.
The prime factorization of 1208 is: (22 times 11 times 137).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1208 is divided by 2 to get 604.
Step 2: Now divide 604 by 2 to get 302.
Step 3: Then divide 302 by 2 to get 151. Here, 151 is a prime number, and it cannot be divided further. So, the prime factorization of 1208 is:
(22 times 11 times 137).
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 1208: (1, 1208), (2, 604), (4, 302), (11, 110), and (22, 55).
Negative factor pairs of 1208: (-1, -1208), (-2, -604), (-4, -302), (-11, -110), and (-22, -55).
Common Mistakes and How to Avoid Them in Factors of 1208
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 1208, 1 and 1208 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1208 consist of -1, -2, -4, 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 1208/1.5 = 805.333, 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 1208 are prime numbers. For example, 2, 11, and 137 are the prime factors of 1208, but it has other factors like 4, 44.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1208 as (22 times 11 times 137) and missing all the key factors.
Factors of 1208 Examples
Problem 1
There are 11 friends and 1108 marbles. How will they divide it equally?
They will get 100 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of friends.
(1108 div 11 = 100)
Problem 2
A field is rectangular, the length of the field is 22 meters and the total area is 1100 square meters. Find the width?
50 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
(1100 = 22 times text{width})
To find the value of width, we need to shift 22 to the left side.
(1100 div 22 = text{width})
Width = 50.
Problem 3
There are 44 bags and 2200 candies. How many candies will be in each bag?
Each bag will have 50 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags.
(2200 div 44 = 50)
Problem 4
In a class, there are 137 students, and 5 groups. How many students are there in each group (approximately)?
There are about 27 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
(137 div 5 approx 27.4) (rounded down to 27 for equal distribution)
Problem 5
1208 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 109 books.
Explanation
Divide total books with shelves. (1208 div 11 = 109)
FAQs on Factors of 1208
1.What are the factors of 1208?
2.Mention the prime factors of 1208.
3.Is 1208 a multiple of 11?
4.Mention the factor pairs of 1208?
5.What is the square of 1208?
6.How can children in India use numbers in everyday life to understand Factors of 1208?
7.What are some fun ways kids in India can practice Factors of 1208 with numbers?
8.What role do numbers and Factors of 1208 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1208 skills?
Important Glossaries for Factor of 1208
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1208 are 1, 2, 4, 11, 22, 44, 137, 274, 548, and 1208.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 137 are prime factors of 1208.
- 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 1208 are (1, 1208), (2, 604), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1208 is (22 times 11 times 137).
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1208 is a multiple of 11.
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About BrightChamps in India
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.
