134 LearnersLast updated on May 29th, 2025
Factors of 1196
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 1196, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1196?
The numbers that divide 1196 evenly are known as factors of 1196.
A factor of 1196 is a number that divides the number without remainder.
The factors of 1196 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 299, 598, and 1196.
Negative factors of 1196: -1, -2, -4, -7, -14, -28, -43, -86, -172, -299, -598, and -1196.
Prime factors of 1196: 2, 7, and 43.
Prime factorization of 1196: 22 × 7 × 43.
The sum of factors of 1196: 1 + 2 + 4 + 7 + 14 + 28 + 43 + 86 + 172 + 299 + 598 + 1196 = 2450
How to Find Factors of 1196?
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 1196. Identifying the numbers which are multiplied to get the number 1196 is the multiplication method.
Step 1: Multiply 1196 by 1, 1196 × 1 = 1196.
Step 2: Check for other numbers that give 1196 after multiplying:
2 × 598 = 1196
4 × 299 = 1196
7 × 172 = 1196
14 × 86 = 1196
28 × 43 = 1196
Therefore, the positive factor pairs of 1196 are: (1, 1196), (2, 598), (4, 299), (7, 172), (14, 86), (28, 43). 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 the simple division method -
Step 1: Divide 1196 by 1, 1196 ÷ 1 = 1196.
Step 2: Continue dividing 1196 by numbers until the remainder becomes 0.
1196 ÷ 1 = 1196
1196 ÷ 2 = 598
1196 ÷ 4 = 299
1196 ÷ 7 = 172
1196 ÷ 14 = 86
1196 ÷ 28 = 43
Therefore, the factors of 1196 are: 1, 2, 4, 7, 14, 28, 43, 86, 172, 299, 598, and 1196.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1196 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
1196 ÷ 2 = 598
598 ÷ 2 = 299
299 ÷ 7 = 43
43 ÷ 43 = 1
The prime factors of 1196 are 2, 7, and 43.
The prime factorization of 1196 is: 2^2 × 7 × 43.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1196 is divided by 2 to get 598.
Step 2: Now divide 598 by 2 to get 299.
Step 3: Then divide 299 by 7 to get 43.
Step 4: 43 is already a prime number. So, the prime factorization of 1196 is: 22 × 7 × 43.
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 1196: (1, 1196), (2, 598), (4, 299), (7, 172), (14, 86), and (28, 43).
Negative factor pairs of 1196: (-1, -1196), (-2, -598), (-4, -299), (-7, -172), (-14, -86), and (-28, -43).
Common Mistakes and How to Avoid Them in Factors of 1196
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 1196, 1 and 1196 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 1196 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 1196/1.5 = 797.333, 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 1196 are prime numbers.
For example, 2, 7, and 43 are the prime factors of 1196, but it has other factors like 4, 86.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1196 as 22 × 7 × 43 and missing all the key factors.
Factors of 1196 Examples
Problem 1
There are 28 students and 1196 math problems. How many problems will each student solve if they are divided equally?
They will solve 43 problems each.
Explanation
To divide the problems equally, we need to divide the total problems by the number of students.
1196/28 = 43
Problem 2
A rectangular billboard has a length of 172 meters and a total area of 1196 square meters. Find the width.
7 meters.
Explanation
To find the width of the billboard, we use the formula: Area = length × width
1196 = 172 × width
To find the value of width, we need to shift 172 to the left side.
1196/172 = width
Width = 7.
Problem 3
There are 86 gift bags and 1196 candies. How many candies will be in each bag?
Each bag will have 14 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
1196/86 = 14
Problem 4
In a conference, there are 1196 participants, and 43 discussion groups. How many participants are there in each group?
There are 28 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1196/43 = 28
Problem 5
1196 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 172 books.
Explanation
Divide total books by shelves.
1196/7 = 172
FAQs on Factors of 1196
1.What are the factors of 1196?
2.Mention the prime factors of 1196.
3.Is 1196 a multiple of 7?
4.Mention the factor pairs of 1196?
5.What is the square of 1196?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1196?
7.What are some fun ways kids in Vietnam can practice Factors of 1196 with numbers?
8.What role do numbers and Factors of 1196 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1196 skills?
Important Glossaries for Factors of 1196
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1196 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 299, 598, and 1196.
- Prime factors: The factors which are prime numbers. For example, 2, 7, and 43 are prime factors of 1196.
- 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 1196 are (1, 1196), (2, 598), etc.
- Prime factorization: Breaking down a number into its prime factors; for example, 1196 as 22 × 7 × 43.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to the original number.
Explore More numbers
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.
