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Last updated on May 26th, 2025

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Factors of 1352

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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.

Factors of 1352 for Saudi Students
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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

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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
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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.

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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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 1352 Examples

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Problem 1

There are 676 apples and 2 baskets. How will they divide the apples equally?

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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

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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?

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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.

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Problem 3

There are 26 bins and 1352 liters of water. How many liters will be in each bin?

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Each bin will have 52 liters.

Explanation

To find the liters in each bin, divide the total liters with the bins.

 

1352/26 = 52

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Problem 4

In a conference, there are 1352 attendees, and 8 rooms. How many attendees are there in each room?

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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

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Problem 5

1352 books need to be arranged in 52 shelves. How many books will go on each shelf?

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Each of the shelves has 26 books.

Explanation

Divide total books with shelves.

 

1352/52 = 26

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FAQs on Factors of 1352

1.What are the factors of 1352?

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2.Mention the prime factors of 1352.

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3.Is 1352 a multiple of 4?

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4.Mention the factor pairs of 1352?

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5.What is the square of 1352?

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6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 1352?

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7.What are some fun ways kids in Saudi Arabia can practice Factors of 1352 with numbers?

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8.What role do numbers and Factors of 1352 play in helping children in Saudi Arabia develop problem-solving skills?

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9.How can families in Saudi Arabia create number-rich environments to improve Factors of 1352 skills?

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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 Saudi Arabia

At BrightChamps, numbers represent more than just digits—they unlock a world of opportunities! Our mission is to help kids across Saudi Arabia develop important math skills, with today’s focus on Factors of 1352 highlighting factors—in a lively, fun, and clear manner. Whether your child is calculating the speed of a ride at Al Hokair Land in Riyadh, following scores at local football matches, or managing their allowance for gadgets, understanding numbers boosts their confidence in everyday tasks. Our engaging lessons make learning simple and enjoyable. Since kids in Saudi Arabia learn differently, we customize lessons for each learner. From Riyadh’s busy streets to Jeddah’s historic sites, BrightChamps brings math to life throughout Saudi Arabia. Let’s make factors a fun part of every child’s math experience!
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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.

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: She loves to read number jokes and games.

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