139 LearnersLast updated on May 29th, 2025
Factors of 1194
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 1194, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1194?
The numbers that divide 1194 evenly are known as factors of 1194.
A factor of 1194 is a number that divides the number without remainder.
The factors of 1194 are 1, 2, 3, 6, 199, 398, 597, and 1194.
Negative factors of 1194: -1, -2, -3, -6, -199, -398, -597, and -1194. Prime factors of 1194: 2, 3, and 199.
Prime factorization of 1194: 2 × 3 × 199.
The sum of factors of 1194: 1 + 2 + 3 + 6 + 199 + 398 + 597 + 1194 = 2400
How to Find Factors of 1194?
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 1194. Identifying the numbers which are multiplied to get the number 1194 is the multiplication method.
Step 1: Multiply 1194 by 1, 1194 × 1 = 1194.
Step 2: Check for other numbers that give 1194 after multiplying
2 × 597 = 1194
3 × 398 = 1194
6 × 199 = 1194
Therefore, the positive factor pairs of 1194 are: (1, 1194), (2, 597), (3, 398), (6, 199).
All these factor pairs result in 1194. 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1194 by 1, 1194 ÷ 1 = 1194.
Step 2: Continue dividing 1194 by the numbers until the remainder becomes 0.
1194 ÷ 1 = 1194
1194 ÷ 2 = 597
1194 ÷ 3 = 398
1194 ÷ 6 = 199
Therefore, the factors of 1194 are: 1, 2, 3, 6, 199, 398, 597, 1194.
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 1194 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1194 ÷ 2 = 597
597 ÷ 3 = 199
199 ÷ 199 = 1
The prime factors of 1194 are 2, 3, and 199.
The prime factorization of 1194 is: 2 × 3 × 199.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1194 is divided by 2 to get 597.
Step 2: Now divide 597 by 3 to get 199. 199 is a prime number and cannot be divided further. So, the prime factorization of 1194 is: 2 × 3 × 199.
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 1194: (1, 1194), (2, 597), (3, 398), and (6, 199).
Negative factor pairs of 1194: (-1, -1194), (-2, -597), (-3, -398), and (-6, -199).
Common Mistakes and How to Avoid Them in Factors of 1194
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1194, 1 and 1194 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 1194 consist of -1, -2, -3, 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 1194 ÷ 1.5 ≈ 796, 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 1194 are prime numbers. For example, 2, 3, and 199 are the prime factors of 1194, but it has other factors like 6, 398.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1194 as 2 × 3 × 199 and missing all the key factors.
Factors of 1194 Examples
Problem 1
There are 6 trucks and 1194 bricks. How will they distribute them equally?
They will distribute 199 bricks to each truck.
Explanation
To distribute the bricks equally, we need to divide the total number of bricks by the number of trucks.
1194 ÷ 6 = 199
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1194 square meters. What is the width?
398 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1194 = 3 × width
To find the value of width, divide the area by the length.
1194 ÷ 3 = width
Width = 398.
Problem 3
There are 199 boxes and 1194 marbles. How many marbles will be in each box?
Each box will have 6 marbles.
Explanation
To find the number of marbles in each box, divide the total number of marbles by the number of boxes.
1194 ÷ 199 = 6
Problem 4
In a concert, there are 1194 people seated in 3 sections. How many people are there in each section?
There are 398 people in each section.
Explanation
Dividing the total number of people by the number of sections will give the number of people in each section.
1194 ÷ 3 = 398
Problem 5
1194 books need to be arranged in 199 shelves. How many books will go on each shelf?
Each shelf will have 6 books.
Explanation
Divide the total number of books by the number of shelves.
1194 ÷ 199 = 6
FAQs on Factors of 1194
1.What are the factors of 1194?
2.Mention the prime factors of 1194.
3.Is 1194 a multiple of 3?
4.Mention the factor pairs of 1194?
5.What is the square of 1194?
Important Glossaries for Factors of 1194
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1194 are 1, 2, 3, 6, 199, 398, 597, and 1194.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 199 are prime factors of 1194.
- 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 1194 are (1, 1194), (2, 597), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For 1194, it is 2 × 3 × 199.
- Negative factors: Factors that are negative numbers, such as -1, -2, -3, etc., for 1194.
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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.
