133 LearnersLast updated on May 30th, 2025
Factors of 1212
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 1212, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1212?
The numbers that divide 1212 evenly are known as factors of 1212.
A factor of 1212 is a number that divides the number without remainder.
The factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, and 1212.
Negative factors of 1212: -1, -2, -3, -4, -6, -12, -101, -202, -303, -404, -606, and -1212.
Prime factors of 1212: 2, 3, 101.
Prime factorization of 1212: 22 × 3 × 101.
The sum of factors of 1212: 1 + 2 + 3 + 4 + 6 + 12 + 101 + 202 + 303 + 404 + 606 + 1212 = 2856
How to Find Factors of 1212?
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 1212. Identifying the numbers which are multiplied to get the number 1212 is the multiplication method.
Step 1: Multiply 1212 by 1, 1212 × 1 = 1212.
Step 2: Check for other numbers that give 1212 after multiplying
2 × 606 = 1212
3 × 404 = 1212
4 × 303 = 1212
6 × 202 = 1212
12 × 101 = 1212
Therefore, the positive factor pairs of 1212 are: (1, 1212), (2, 606), (3, 404), (4, 303), (6, 202), (12, 101).
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1212 by 1, 1212 ÷ 1 = 1212.
Step 2: Continue dividing 1212 by the numbers until the remainder becomes 0.
1212 ÷ 1 = 1212
1212 ÷ 2 = 606
1212 ÷ 3 = 404
1212 ÷ 4 = 303
1212 ÷ 6 = 202
1212 ÷ 12 = 101
Therefore, the factors of 1212 are: 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212.
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 1212 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1212 ÷ 2 = 606
606 ÷ 2 = 303
303 ÷ 3 = 101
101 ÷ 101 = 1
The prime factors of 1212 are 2, 3, and 101.
The prime factorization of 1212 is: 22 × 3 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1212 is divided by 2 to get 606.
Step 2: Now divide 606 by 2 to get 303.
Step 3: Then divide 303 by 3 to get 101.
Step 4: Since 101 is a prime number, it cannot be divided further. So, the prime factorization of 1212 is: 22 × 3 × 101.
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 1212: (1, 1212), (2, 606), (3, 404), (4, 303), (6, 202), (12, 101).
Negative factor pairs of 1212: (-1, -1212), (-2, -606), (-3, -404), (-4, -303), (-6, -202), (-12, -101).
Common Mistakes and How to Avoid Them in Factors of 1212
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 1212, 1 and 1212 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1212 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Sometimes, fractions might be mistakenly included as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1212/1.5 does not result in 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 1212 are prime numbers. For example, 2, 3, and 101 are the prime factors of 1212, but it has other factors like 4, 12.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking 1212 as 22 × 3 × 101 and missing all the key factors.
Factors of 1212 Examples
Problem 1
There are 6 teams and 1212 points to be distributed equally among them. How many points will each team receive?
Each team will receive 202 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1212/6 = 202
Problem 2
A rectangular plot has a width of 101 meters and a total area of 1212 square meters. Find the length of the plot.
12 meters.
Explanation
To find the length of the plot, we use the formula, Area = length × width
1212 = length × 101
To find the value of the length, we need to shift 101 to the left side.
1212/101 = length
Length = 12.
Problem 3
There are 404 apples and 1212 baskets. How many apples will be in each basket if divided equally?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1212/404 = 3
Problem 4
A school has 1212 students, and they need to be grouped into 4 groups. How many students will be in each group?
There are 303 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1212/4 = 303
Problem 5
1212 books need to be arranged in 202 shelves. How many books will go on each shelf?
Each of the shelves has 6 books.
Explanation
Divide total books by shelves.
1212/202 = 6
FAQs on Factors of 1212
1.What are the factors of 1212?
2.Mention the prime factors of 1212.
3.Is 1212 a multiple of 4?
4.Mention the factor pairs of 1212?
5.What is the square of 1212?
6.How can children in Oman use numbers in everyday life to understand Factors of 1212?
7.What are some fun ways kids in Oman can practice Factors of 1212 with numbers?
8.What role do numbers and Factors of 1212 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 1212 skills?
Important Glossaries for Factor of 1212
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, and 1212.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 101 are prime factors of 1212.
- 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 1212 are (1, 1212), (2, 606), etc.
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1212 is 22 × 3 × 101.
- Negative factors: Factors that are negative counterparts of the positive factors. For example, negative factors of 1212 are -1, -2, -3, etc.
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About BrightChamps in Oman
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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