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 1052, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1052 evenly are known as factors of 1052.
A factor of 1052 is a number that divides the number without remainder.
The factors of 1052 are 1, 2, 4, 263, 526, and 1052.
Negative factors of 1052: -1, -2, -4, -263, -526, and -1052.
Prime factors of 1052: 2 and 263.
Prime factorization of 1052: 2² × 263.
The sum of factors of 1052: 1 + 2 + 4 + 263 + 526 + 1052 = 1848
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 1052. Identifying the numbers which are multiplied to get the number 1052 is the multiplication method.
Step 1: Multiply 1052 by 1, 1052 × 1 = 1052.
Step 2: Check for other numbers that give 1052 after multiplying
2 × 526 = 1052
4 × 263 = 1052
Therefore, the positive factor pairs of 1052 are: (1, 1052), (2, 526), (4, 263). All these factor pairs result in 1052. 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 1052 by 1, 1052 ÷ 1 = 1052.
Step 2: Continue dividing 1052 by the numbers until the remainder becomes 0.
1052 ÷ 1 = 1052
1052 ÷ 2 = 526
1052 ÷ 4 = 263
Therefore, the factors of 1052 are: 1, 2, 4, 263, 526, 1052.
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 1052 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1052 ÷ 2 = 526
526 ÷ 2 = 263
263 ÷ 263 = 1
The prime factors of 1052 are 2 and 263.
The prime factorization of 1052 is: 2² × 263.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1052 is divided by 2 to get 526.
Step 2: Now divide 526 by 2 to get 263. Step 3: Here, 263 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1052 is: 2² × 263
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 1052: (1, 1052), (2, 526), (4, 263).
Negative factor pairs of 1052: (-1, -1052), (-2, -526), (-4, -263).
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 263 students and 1052 pencils. How will they divide it equally?
They will get 4 pencils each.
To divide the pencils equally, we need to divide the total pencils by the number of students.
1052/263 = 4
A rectangular garden has a length of 4 meters, and the total area is 1052 square meters. Find the width.
263 meters.
To find the width of the garden, we use the formula,
Area = length × width
1052 = 4 × width
To find the value of width, we need to shift 4 to the left side.
1052/4 = width
Width = 263.
There are 526 boxes and 1052 candies. How many candies will be in each box?
Each box will have 2 candies.
To find the candies in each box, divide the total candies by the boxes.
1052/526 = 2
In a factory, there are 1052 workers, and 263 teams. How many workers are there in each team?
There are 4 workers in each team.
Dividing the workers by the total teams, we will get the number of workers in each team.
1052/263 = 4
1052 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 263 books.
Divide total books with shelves.
1052/4 = 263
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.