108 LearnersLast updated on May 26th, 2025
Factors of 1167
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 1167, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1167?
The numbers that divide 1167 evenly are known as factors of 1167. A factor of 1167 is a number that divides the number without remainder. The factors of 1167 are 1, 3, 389, and 1167.
Negative factors of 1167: -1, -3, -389, and -1167.
Prime factors of 1167: 3 and 389.
Prime factorization of 1167: 3 × 389.
The sum of factors of 1167: 1 + 3 + 389 + 1167 = 1560
How to Find Factors of 1167?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1167. Identifying the numbers which are multiplied to get the number 1167 is the multiplication method.
Step 1: Multiply 1167 by 1, 1167 × 1 = 1167.
Step 2: Check for other numbers that give 1167 after multiplying 3 × 389 = 1167
Therefore, the positive factor pairs of 1167 are: (1, 1167) and (3, 389). All these factor pairs result in 1167. 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 1167 by 1, 1167 ÷ 1 = 1167.
Step 2: Continue dividing 1167 by the numbers until the remainder becomes 0.
1167 ÷ 1 = 1167
1167 ÷ 3 = 389
Therefore, the factors of 1167 are: 1, 3, 389, and 1167.
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 1167 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1167 ÷ 3 = 389
389 is a prime number and cannot be divided further. The prime factors of 1167 are 3 and 389. The prime factorization of 1167 is: 3 × 389.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1167 is divided by 3 to get 389.
Step 2: 389 is a prime number, and it cannot be divided further. So, the prime factorization of 1167 is: 3 × 389.
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 1167: (1, 1167) and (3, 389).
- Negative factor pairs of 1167: (-1, -1167) and (-3, -389).
Common Mistakes and How to Avoid Them in Factors of 1167
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 whole number. Always remember to include 1 and the number itself. For example, in factors of 1167, 1 and 1167 are also factors.
Factors of 1167 Examples
Problem 1
There are 3 teams and 1167 marbles. How will they distribute them equally?
They will get 389 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1167/3 = 389
Problem 2
A rectangular garden has a width of 3 meters and a total area of 1167 square meters. Find the length.
389 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1167 = 3 × length
To find the value of the length, we need to shift 3 to the left side.
1167/3 = length
Length = 389.
Problem 3
There are 389 gift boxes and 1167 candies. How many candies will be in each box?
Each box will have 3 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1167/389 = 3
Problem 4
In a concert, there are 1167 audience members, and 3 sections. How many audience members are there in each section?
There are 389 audience members in each section.
Explanation
Dividing the audience members by the total sections, we will get the number of members in each section.
1167/3 = 389
Problem 5
1167 books need to be arranged on 3 shelves. How many books will go on each shelf?
Each of the shelves has 389 books.
Explanation
Divide total books by shelves.
1167/3 = 389
FAQs on Factors of 1167
1.What are the factors of 1167?
2.Mention the prime factors of 1167.
3.Is 1167 a multiple of 3?
4.Mention the factor pairs of 1167.
5.What is the square of 1167?
Important Glossaries for Factors of 1167
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1167 are 1, 3, 389, and 1167.
- Prime factors: The factors which are prime numbers. For example, 3 and 389 are prime factors of 1167.
- 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 1167 are (1, 1167) and (3, 389).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1167 is 3 × 389.
- Multiple: A number that can be divided by another number without a remainder. For example, 1167 is a multiple of 3.
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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.
