Last updated on May 30th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the points equally, we need to divide the total points by the number of teams.
1212/6 = 202
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.
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.
There are 404 apples and 1212 baskets. How many apples will be in each basket if divided equally?
Each basket will have 3 apples.
To find the apples in each basket, divide the total apples by the baskets.
1212/404 = 3
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.
Dividing the students by the total groups, we will get the number of students in each group.
1212/4 = 303
1212 books need to be arranged in 202 shelves. How many books will go on each shelf?
Each of the shelves has 6 books.
Divide total books by shelves.
1212/202 = 6
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.
: She loves to read number jokes and games.