101 LearnersLast updated on May 27th, 2025
Factors of 1185
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 1185, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1185?
The numbers that divide 1185 evenly are known as factors of 1185.
A factor of 1185 is a number that divides the number without remainder
The factors of 1185 are 1, 3, 5, 79, 237, 395, and 1185.
Negative factors of 1185: -1, -3, -5, -79, -237, -395, and -1185.
Prime factors of 1185: 3, 5, and 79.
Prime factorization of 1185: 3 × 5 × 79.
The sum of factors of 1185: 1 + 3 + 5 + 79 + 237 + 395 + 1185 = 1905
How to Find Factors of 1185?
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 1185. Identifying the numbers which are multiplied to get the number 1185 is the multiplication method.
Step 1: Multiply 1185 by 1, 1185 × 1 = 1185.
Step 2: Check for other numbers that give 1185 after multiplying
3 × 395 = 1185
5 × 237 = 1185
Therefore, the positive factor pairs of 1185 are: (1, 1185), (3, 395), (5, 237), and (79, 15).
All these factor pairs result in 1185. 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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1185 by 1, 1185 ÷ 1 = 1185.
Step 2: Continue dividing 1185 by the numbers until the remainder becomes 0.
1185 ÷ 1 = 1185
1185 ÷ 3 = 395
1185 ÷ 5 = 237
1185 ÷ 79 = 15
Therefore, the factors of 1185 are: 1, 3, 5, 79, 237, 395, and 1185.
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 1185 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1185 ÷ 3 = 395
395 ÷ 5 = 79
79 ÷ 79 = 1
The prime factors of 1185 are 3, 5, and 79.
The prime factorization of 1185 is: 3 × 5 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1185 is divided by 3 to get 395.
Step 2: Now divide 395 by 5 to get 79.
Step 3: Here, 79 is the smallest prime number, which cannot be divided anymore. So, the prime factorization of 1185 is: 3 × 5 × 79.
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 1185: (1, 1185), (3, 395), and (5, 237), (15, 79).
Negative factor pairs of 1185: (-1, -1185), (-3, -395), (-5, -237), (-15, -79).
Common Mistakes and How to Avoid Them in Factors of 1185
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 1185, 1 and 1185 are also factors.
Factors of 1185 Examples
Problem 1
There are 15 friends and 1185 candies. How will they divide it equally?
They will get 79 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1185/15 = 79
Problem 2
A garden is rectangular, the length of the garden is 79 meters and the total area is 1185 square meters. Find the width?
15 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1185 = 79 × width
To find the value of width, we need to shift 79 to the left side.
1185/79 = width
Width = 15.
Problem 3
There are 237 gift bags and 1185 gifts. How many gifts will be in each bag?
Each bag will have 5 gifts.
Explanation
To find the gifts in each bag, divide the total gifts by the bags.
1185/237 = 5
Problem 4
In a class, there are 1185 students, and 5 groups. How many students are there in each group?
There are 237 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1185/5 = 237
Problem 5
1185 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 395 books.
Explanation
Divide total books by shelves.
1185/3 = 395
FAQs on Factors of 1185
1.What are the factors of 1185?
2.Mention the prime factors of 1185.
3.Is 1185 a multiple of 5?
4.Mention the factor pairs of 1185?
5.What is the square of 1185?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1185?
7.What are some fun ways kids in Vietnam can practice Factors of 1185 with numbers?
8.What role do numbers and Factors of 1185 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1185 skills?
Important Glossaries for Factor of 1185
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1185 are 1, 3, 5, 79, 237, 395, and 1185.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 79 are prime factors of 1185.
- 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 1185 are (1, 1185), (3, 395), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1185 is 3 × 5 × 79.
- Negative factors: The negative counterparts of the positive factors. For example, -1, -3, -5, -79, -237, -395, and -1185 are negative factors of 1185.
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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.
