115 LearnersLast updated on May 30th, 2025
Factors of 1206
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 1206, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1206?
The numbers that divide 1206 evenly are known as factors of 1206. A factor of 1206 is a number that divides the number without remainder.
The factors of 1206 are 1, 2, 3, 6, 11, 18, 22, 33, 37, 66, 74, 111, 222, 407, 603, and 1206.
Negative factors of 1206: -1, -2, -3, -6, -11, -18, -22, -33, -37, -66, -74, -111, -222, -407, -603, and -1206.
Prime factors of 1206: 2, 3, 11, and 37.
Prime factorization of 1206: 2 × 3 × 11 × 37.
The sum of factors of 1206: 1 + 2 + 3 + 6 + 11 + 18 + 22 + 33 + 37 + 66 + 74 + 111 + 222 + 407 + 603 + 1206 = 2822
How to Find Factors of 1206?
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 1206. Identifying the numbers which are multiplied to get the number 1206 is the multiplication method.
Step 1: Multiply 1206 by 1, 1206 × 1 = 1206.
Step 2: Check for other numbers that give 1206 after multiplying
2 × 603 = 1206
3 × 402 = 1206
6 × 201 = 1206
11 × 110 = 1206
18 × 67 = 1206
22 × 55 = 1206
33 × 37 = 1206
Therefore, the positive factor pairs of 1206 are: (1, 1206), (2, 603), (3, 402), (6, 201), (11, 110), (18, 67), (22, 55), (33, 37).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1206 by 1, 1206 ÷ 1 = 1206.
Step 2: Continue dividing 1206 by the numbers until the remainder becomes 0.
1206 ÷ 1 = 1206
1206 ÷ 2 = 603
1206 ÷ 3 = 402
1206 ÷ 6 = 201
1206 ÷ 11 = 110
1206 ÷ 18 = 67
1206 ÷ 22 = 55
1206 ÷ 33 = 37
Therefore, the factors of 1206 are: 1, 2, 3, 6, 11, 18, 22, 33, 37, 66, 74, 111, 222, 407, 603, 1206.
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 1206 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1206 ÷ 2 = 603
603 ÷ 3 = 201
201 ÷ 3 = 67
67 ÷ 67 = 1
The prime factors of 1206 are 2, 3, 11, and 37.
The prime factorization of 1206 is: 2 × 3 × 11 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1206 is divided by 2 to get 603.
Step 2: Now divide 603 by 3 to get 201.
Step 3: Divide 201 by 3 to get 67.
Step 4: The number 67 is a prime number and cannot be divided further. So, the prime factorization of 1206 is: 2 × 3 × 11 × 37.
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 1206: (1, 1206), (2, 603), (3, 402), (6, 201), (11, 110), (18, 67), (22, 55), and (33, 37).
Negative factor pairs of 1206: (-1, -1206), (-2, -603), (-3, -402), (-6, -201), (-11, -110), (-18, -67), (-22, -55), and (-33, -37).
Common Mistakes and How to Avoid Them in Factors of 1206
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 as 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 1206, 1 and 1206 are also factors.
Factors of 1206 Examples
Problem 1
There are 1106 beads and 18 boxes. How will they divide them equally?
Each box will have 67 beads.
Explanation
To divide the beads equally, we need to divide the total beads by the number of boxes.
1206/18 = 67
Problem 2
A rectangular garden has a length of 37 meters and a total area of 1206 square meters. Find the width.
33 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1206 = 37 × width
To find the value of width, we need to shift 37 to the other side.
1206/37 = width
Width = 33.
Problem 3
There are 6 crates and 1206 apples. How many apples will be in each crate?
Each crate will have 201 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
1206/6 = 201
Problem 4
In a concert, there are 1206 attendees and 11 sections. How many attendees are there in each section?
There are 110 attendees in each section.
Explanation
Dividing the attendees by the total sections, we will get the number of attendees in each section.
1206/11 = 110
Problem 5
1206 books need to be arranged in 22 shelves. How many books will go on each shelf?
Each of the shelves will have 55 books.
Explanation
Divide total books by the number of shelves.
1206/22 = 55
FAQs on Factors of 1206
1.What are the factors of 1206?
2.Mention the prime factors of 1206.
3.Is 1206 a multiple of 18?
4.Mention the factor pairs of 1206?
5.What is the square of 1206?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1206?
7.What are some fun ways kids in Indonesia can practice Factors of 1206 with numbers?
8.What role do numbers and Factors of 1206 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1206 skills?
Important Glossaries for Factors of 1206
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1206 are 1, 2, 3, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 11, and 37 are prime factors of 1206.
- Prime factorization: The process of expressing a number as the product of its prime factors, like 2 × 3 × 11 × 37 for 1206.
- 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 1206 are (1, 1206), (2, 603), etc.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 1206 is a multiple of 18.
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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
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