104 LearnersLast updated on May 26th, 2025
Factors of 1252
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 1252, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1252?
The numbers that divide 1252 evenly are known as factors of 1252. A factor of 1252 is a number that divides the number without remainder. The factors of 1252 are 1, 2, 4, 313, 626, and 1252.
Negative factors of 1252: -1, -2, -4, -313, -626, and -1252.
Prime factors of 1252: 2 and 313.
Prime factorization of 1252: 2² × 313.
The sum of factors of 1252: 1 + 2 + 4 + 313 + 626 + 1252 = 2198
How to Find Factors of 1252?
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 1252. Identifying the numbers which are multiplied to get the number 1252 is the multiplication method.
Step 1: Multiply 1252 by 1, 1252 × 1 = 1252.
Step 2: Check for other numbers that give 1252 after multiplying.
2 × 626 = 1252
4 × 313 = 1252
Therefore, the positive factor pairs of 1252 are: (1, 1252), (2, 626), (4, 313). 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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1252 by 1, 1252 ÷ 1 = 1252.
Step 2: Continue dividing 1252 by the numbers until the remainder becomes 0.
1252 ÷ 1 = 1252
1252 ÷ 2 = 626
1252 ÷ 4 = 313
Therefore, the factors of 1252 are: 1, 2, 4, 313, 626, 1252.
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 1252 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1252 ÷ 2 = 626
626 ÷ 2 = 313
313 ÷ 313 = 1
The prime factors of 1252 are 2 and 313. The prime factorization of 1252 is: 2² × 313.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1252 is divided by 2 to get 626.
Step 2: Now divide 626 by 2 to get 313.
Step 3: Here, 313 is a prime number, so it cannot be divided anymore. So, the prime factorization of 1252 is: 2² × 313.
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 1252: (1, 1252), (2, 626), (4, 313).
- Negative factor pairs of 1252: (-1, -1252), (-2, -626), (-4, -313).
Common Mistakes and How to Avoid Them in Factors of 1252
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 1252, 1 and 1252 are also factors.
Factors of 1252 Examples
Problem 1
A team has 4 members and 1252 candies. How will they divide it equally?
They will get 313 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of team members.
1252/4 = 313
Problem 2
A field is rectangular, the length of the field is 2 meters, and the total area is 1252 square meters. Find the width.
626 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1252 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1252/2 = width
Width = 626.
Problem 3
There are 313 parcels and 1252 items. How many items will be in each parcel?
Each parcel will have 4 items.
Explanation
To find the items in each parcel, divide the total items by the number of parcels.
1252/313 = 4
Problem 4
In a class, there are 1252 students, and 2 groups. How many students are there in each group?
There are 626 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1252/2 = 626
Problem 5
1252 books need to be arranged in 313 shelves. How many books will go on each shelf?
Each of the shelves has 4 books.
Explanation
Divide total books with shelves.
1252/313 = 4
FAQs on Factors of 1252
1.What are the factors of 1252?
2.Mention the prime factors of 1252.
3.Is 1252 a multiple of 4?
4.Mention the factor pairs of 1252?
5.What is the square of 1252?
Important Glossaries for Factor of 1252
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1252 are 1, 2, 4, 313, 626, and 1252.
- Prime factors: The factors which are prime numbers. For example, 2 and 313 are prime factors of 1252.
- 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 1252 are (1, 1252), (2, 626), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1252 is 2² × 313.
- Negative factors: Factors that are negative and divide the number without a remainder. For example, -1, -2, -4, -313, -626, -1252 are negative factors of 1252.
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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
: She loves to read number jokes and games.
