Last updated on May 26th, 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 2652, how they are used in real life, and tips to learn them quickly.
The numbers that divide 2652 evenly are known as factors of 2652.
A factor of 2652 is a number that divides the number without remainder.
The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 26, 51, 52, 102, 204, 221, 442, 663, 884, 1326, and 2652.
Negative factors of 2652: -1, -2, -3, -4, -6, -12, -13, -26, -51, -52, -102, -204, -221, -442, -663, -884, -1326, and -2652.
Prime factors of 2652: 2, 3, and 13.
Prime factorization of 2652: 2² × 3 × 13².
The sum of factors of 2652: 1 + 2 + 3 + 4 + 6 + 12 + 13 + 26 + 51 + 52 + 102 + 204 + 221 + 442 + 663 + 884 + 1326 + 2652 = 5668.
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 2652. Identifying the numbers which are multiplied to get the number 2652 is the multiplication method.
Step 1: Multiply 2652 by 1, 2652 × 1 = 2652.
Step 2: Check for other numbers that give 2652 after multiplying
2 × 1326 = 2652
3 × 884 = 2652
4 × 663 = 2652
6 × 442 = 2652
12 × 221 = 2652
13 × 204 = 2652
26 × 102 = 2652
51 × 52 = 2652
Therefore, the positive factor pairs of 2652 are: (1, 2652), (2, 1326), (3, 884), (4, 663), (6, 442), (12, 221), (13, 204), (26, 102), (51, 52).
For every positive factor, there is a negative factor.
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 2652 by 1, 2652 ÷ 1 = 2652.
Step 2: Continue dividing 2652 by the numbers until the remainder becomes 0.
2652 ÷ 1 = 2652
2652 ÷ 2 = 1326
2652 ÷ 3 = 884
2652 ÷ 4 = 663
2652 ÷ 6 = 442
2652 ÷ 12 = 221
2652 ÷ 13 = 204
2652 ÷ 26 = 102
2652 ÷ 51 = 52
Therefore, the factors of 2652 are: 1, 2, 3, 4, 6, 12, 13, 26, 51, 52, 102, 204, 221, 442, 663, 884, 1326, 2652.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Prime Factorization: In this process, prime factors of 2652 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2652 ÷ 2 = 1326
1326 ÷ 2 = 663
663 ÷ 3 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1
The prime factors of 2652 are 2, 3, and 13.
The prime factorization of 2652 is: 2² × 3 × 13².
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2652 is divided by 2 to get 1326.
Step 2: Now divide 1326 by 2 to get 663.
Step 3: Then divide 663 by 3 to get 221.
Step 4: Divide 221 by 13 to get 17.
Here, 17 is a prime number that cannot be divided anymore.
So, the prime factorization of 2652 is: 2² × 3 × 13².
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 2652: (1, 2652), (2, 1326), (3, 884), (4, 663), (6, 442), (12, 221), (13, 204), (26, 102), (51, 52).
Negative factor pairs of 2652: (-1, -2652), (-2, -1326), (-3, -884), (-4, -663), (-6, -442), (-12, -221), (-13, -204), (-26, -102), (-51, -52).
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 offices and 2652 chairs. How will they divide them equally?
They will get 442 chairs each.
To divide the chairs equally, we need to divide the total chairs by the number of offices.
2652 ÷ 6 = 442
A painting canvas is rectangular, with a length of 51 inches and a total area of 2652 square inches. Find the width.
52 inches.
To find the width of the canvas, we use the formula,
Area = length × width
2652 = 51 × width
To find the value of width, we need to shift 51 to the left side.
2652 ÷ 51 = width
Width = 52
There are 204 boxes and 2652 candies. How many candies will be in each box?
Each box will have 13 candies.
To find the candies in each box, divide the total candies by the number of boxes.
2652 ÷ 204 = 13
In a convention, there are 2652 guests, and 12 tables. How many guests are there at each table?
There are 221 guests at each table.
Dividing the guests by the total number of tables, we will get the number of guests at each table.
2652 ÷ 12 = 221
2652 apples need to be arranged in 51 baskets. How many apples will go in each basket?
Each of the baskets has 52 apples.
Divide total apples by baskets.
2652 ÷ 51 = 52
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.