119 LearnersLast updated on May 26th, 2025
Factors of 1352
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 1352, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1352?
The numbers that divide 1352 evenly are known as factors of 1352.
A factor of 1352 is a number that divides the number without remainder.
The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352.
Negative factors of 1352: -1, -2, -4, -8, -13, -26, -52, -104, -169, -338, -676, -1352.
Prime factors of 1352: 2 and 13.
Prime factorization of 1352: 2³ × 13².
The sum of factors of 1352: 1 + 2 + 4 + 8 + 13 + 26 + 52 + 104 + 169 + 338 + 676 + 1352 = 2745
How to Find Factors of 1352?
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 1352. Identifying the numbers which are multiplied to get the number 1352 is the multiplication method.
Step 1: Multiply 1352 by 1, 1352 × 1 = 1352.
Step 2: Check for other numbers that give 1352 after multiplying
2 × 676 = 1352
4 × 338 = 1352
8 × 169 = 1352
13 × 104 = 1352
26 × 52 = 1352
Therefore, the positive factor pairs of 1352 are: (1, 1352), (2, 676), (4, 338), (8, 169), (13, 104), (26, 52).
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 the simple division method
Step 1: Divide 1352 by 1, 1352 ÷ 1 = 1352.
Step 2: Continue dividing 1352 by the numbers until the remainder becomes 0.
1352 ÷ 1 = 1352
1352 ÷ 2 = 676
1352 ÷ 4 = 338
1352 ÷ 8 = 169
1352 ÷ 13 = 104
1352 ÷ 26 = 52
Therefore, the factors of 1352 are: 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352.
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 1352 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1352 ÷ 2 = 676
676 ÷ 2 = 338
338 ÷ 2 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
The prime factors of 1352 are 2 and 13.
The prime factorization of 1352 is: 2³ × 13².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1352 is divided by 2 to get 676.
Step 2: Now divide 676 by 2 to get 338.
Step 3: Then divide 338 by 2 to get 169.
Step 4: Divide 169 by 13 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1352 is: 2³ × 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 1352: (1, 1352), (2, 676), (4, 338), (8, 169), (13, 104), (26, 52).
Negative factor pairs of 1352: (-1, -1352), (-2, -676), (-4, -338), (-8, -169), (-13, -104), (-26, -52).
Common Mistakes and How to Avoid Them in Factors of 1352
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1352, 1 and 1352 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 1352 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1352/1.5 = 901.333, and it is not 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 1352 are prime numbers.
For example, 2 and 13 are the prime factors of 1352, but it has other factors like 4, 8, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1352 as 2³ × 13² and missing all the key factors.
Factors of 1352 Examples
Problem 1
There are 676 apples and 2 baskets. How will they divide the apples equally?
They will get 338 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
676/2 = 338
Problem 2
A swimming pool is rectangular, the length of the pool is 13 meters and the total area is 1352 square meters. Find the width?
104 meters.
Explanation
To find the width of the pool, we use the formula,
Area = length × width
1352 = 13 × width
To find the value of the width, we need to shift 13 to the left side.
1352/13 = width
Width = 104.
Problem 3
There are 26 bins and 1352 liters of water. How many liters will be in each bin?
Each bin will have 52 liters.
Explanation
To find the liters in each bin, divide the total liters with the bins.
1352/26 = 52
Problem 4
In a conference, there are 1352 attendees, and 8 rooms. How many attendees are there in each room?
There are 169 attendees in each room.
Explanation
Dividing the attendees with the total rooms, we will get the number of attendees in each room.
1352/8 = 169
Problem 5
1352 books need to be arranged in 52 shelves. How many books will go on each shelf?
Each of the shelves has 26 books.
Explanation
Divide total books with shelves.
1352/52 = 26
FAQs on Factors of 1352
1.What are the factors of 1352?
2.Mention the prime factors of 1352.
3.Is 1352 a multiple of 4?
4.Mention the factor pairs of 1352?
5.What is the square of 1352?
6.How can children in Oman use numbers in everyday life to understand Factors of 1352?
7.What are some fun ways kids in Oman can practice Factors of 1352 with numbers?
8.What role do numbers and Factors of 1352 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 1352 skills?
Important Glossaries for Factor of 1352
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, and 1352.
- Prime factors: The factors which are prime numbers. For example, 2 and 13 are prime factors of 1352.
- 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 1352 are (1, 1352), (2, 676), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For 1352, it is 2³ × 13².
- Division method: A technique used to find factors of a number by dividing it by other numbers to check for zero remainders, confirming those numbers as factors.
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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
: She loves to read number jokes and games.
