108 LearnersLast updated on May 26th, 2025
Factors of 1179
Factors are the numbers that divide any given number evenly without a 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 1179, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1179?
The numbers that divide 1179 evenly are known as factors of 1179. A factor of 1179 is a number that divides the number without a remainder. The factors of 1179 are 1, 3, 7, 13, 21, 39, 91, 117, 273, 393, and 1179.
Negative factors of 1179: -1, -3, -7, -13, -21, -39, -91, -117, -273, -393, and -1179.
Prime factors of 1179: 3, 7, and 13.
Prime factorization of 1179: 3 × 7 × 13 × 13.
The sum of factors of 1179: 1 + 3 + 7 + 13 + 21 + 39 + 91 + 117 + 273 + 393 + 1179 = 2137
How to Find Factors of 1179?
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 1179. Identifying the numbers which are multiplied to get the number 1179 is the multiplication method.
Step 1: Multiply 1179 by 1, 1179 × 1 = 1179.
Step 2: Check for other numbers that give 1179 after multiplying
3 × 393 = 1179
7 × 169 = 1179
13 × 91 = 1179
21 × 56 = 1179
39 × 30.23 = 1179 (not a whole number, so not a factor)
Therefore, the positive factor pairs of 1179 are: (1, 1179), (3, 393), (7, 169), (13, 91), (21, 56). All these factor pairs result in 1179. 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 a simple division method -
Step 1: Divide 1179 by 1, 1179 ÷ 1 = 1179.
Step 2: Continue dividing 1179 by the numbers until the remainder becomes 0.
1179 ÷ 1 = 1179
1179 ÷ 3 = 393
1179 ÷ 7 = 169
1179 ÷ 13 = 91
1179 ÷ 21 = 56
Therefore, the factors of 1179 are: 1, 3, 7, 13, 21, 39, 91, 117, 273, 393, 1179.
Prime Factors and Prime Factorization
The factors can be found by dividing them by 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 1179 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1179 ÷ 3 = 393
393 ÷ 3 = 131
131 ÷ 7 = 13
13 ÷ 13 = 1
The prime factors of 1179 are 3, 7, and 13. The prime factorization of 1179 is: 3 × 7 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1179 is divided by 3 to get 393.
Step 2: Now divide 393 by 3 to get 131. Step 3: Then divide 131 by 7 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1179 is: 3 × 7 × 13.
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 1179: (1, 1179), (3, 393), (7, 169), (13, 91), (21, 56).
- Negative factor pairs of 1179: (-1, -1179), (-3, -393), (-7, -169), (-13, -91), (-21, -56).
Common Mistakes and How to Avoid Them in Factors of 1179
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 word. Always remember to include 1 and the number itself. For example, in factors of 1179, 1 and 1179 are also factors.
Factors of 1179 Examples
Problem 1
There are 13 friends and 1179 chocolates. How will they divide it equally?
They will get 91 chocolates each.
Explanation
To divide the chocolates equally, we need to divide the total chocolates by the number of friends.
1179/13 = 91
Problem 2
A field is rectangular, the length of the field is 21 meters and the total area is 1179 square meters. Find the width?
56 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1179 = 21 × width
To find the value of width, we need to shift 21 to the left side.
1179/21 = width
Width = 56.
Problem 3
There are 39 bags and 1179 marbles. How many marbles will be in each bag?
Each bag will have 30 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
1179/39 = 30
Problem 4
In a class, there are 1179 students, and 3 groups. How many students are there in each group?
There are 393 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1179/3 = 393
Problem 5
1179 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 169 books.
Explanation
Divide total books by shelves.
1179/7 = 169
FAQs on Factors of 1179
1.What are the factors of 1179?
2.Mention the prime factors of 1179.
3.Is 1179 a multiple of 3?
4.Mention the factor pairs of 1179?
5.What is the square of 1179?
Important Glossaries for Factors of 1179
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1179 are 1, 3, 7, 13, 21, 39, 91, 117, 273, 393, and 1179.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 13 are prime factors of 1179.
- 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 1179 are (1, 1179), (3, 393), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1179 is 3 × 7 × 13.
- Negative factors: Factors that are negative integers. For example, -1, -3, -7 are negative factors of 1179.
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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.
