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Last updated on May 26th, 2025

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Factors of 265

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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 265, how they are used in real life, and the tips to learn them quickly.

Factors of 265 for Qatari Students
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What are the Factors of 265?

The numbers that divide 265 evenly are known as factors of 265. A factor of 265 is a number that divides the number without remainder.

 

The factors of 265 are 1, 5, 53, and 265.

 

Negative factors of 265: -1, -5, -53, and -265.

 

Prime factors of 265: 5 and 53.

 

Prime factorization of 265: 5 × 53.

 

The sum of factors of 265: 1 + 5 + 53 + 265 = 324

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How to Find Factors of 265?

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 265. Identifying the numbers which are multiplied to get the number 265 is the multiplication method.

 

Step 1: Multiply 265 by 1, 265 × 1 = 265.

 

Step 2: Check for other numbers that give 265 after multiplying 5 × 53 = 265

 

Therefore, the positive factor pairs of 265 are: (1, 265) and (5, 53).

 

All these factor pairs result in 265.

 

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 as whole numbers as factors. Factors can be calculated by following the simple division method -

 

Step 1: Divide 265 by 1, 265 ÷ 1 = 265.

 

Step 2: Continue dividing 265 by the numbers until the remainder becomes 0.

 

265 ÷ 1 = 265

265 ÷ 5 = 53

 

Therefore, the factors of 265 are: 1, 5, 53, 265.

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Prime Factors and Prime Factorization

The factors can be found by dividing it with a 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 265 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1

 

265 ÷ 5 = 53

53 ÷ 53 = 1

 

The prime factors of 265 are 5 and 53.

 

The prime factorization of 265 is: 5 × 53.

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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, 265 is divided by 5 to get 53.

 

Step 2: Now divide 53 by 53 to get 1.

 

Here, 53 is the smallest prime number that cannot be divided anymore.

 

So, the prime factorization of 265 is: 5 × 53.

 

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 265: (1, 265) and (5, 53).

 

Negative factor pairs of 265: (-1, -265) and (-5, -53).

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Common Mistakes and How to Avoid Them in Factors of 265

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 number. Always remember to include 1 and the number itself.

 

For example, in factors of 265, 1 and 265 are also factors.

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Factors of 265 Examples

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Problem 1

There are 53 students and 265 apples. How will they divide it equally?

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They will get 5 apples each.

Explanation

To divide the apples equally, we need to divide the total apples by the number of students.

 

265/53 = 5

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Problem 2

A field is rectangular, the length of the field is 53 meters and the total area is 265 square meters. Find the width?

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5 meters.

Explanation

To find the width of the field, we use the formula, Area = length × width

 

265 = 53 × width

 

To find the value of width, we need to shift 53 to the left side.

 

265/53 = width

 

Width = 5.

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Problem 3

There are 5 teachers and 265 books. How many books will each teacher get?

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Each teacher will have 53 books.

Explanation

To find the books each teacher gets, divide the total books by the number of teachers.

 

265/5 = 53

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Problem 4

A class has 265 students, and the teacher wants to form 5 groups. How many students will be in each group?

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There are 53 students in each group.

Explanation

Dividing the students by the total groups, we will get the number of students in each group.

 

265/5 = 53

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Problem 5

265 boxes need to be arranged in 53 stacks. How many boxes will go in each stack?

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Each stack has 5 boxes.

Explanation

Divide total boxes by stacks.

 

265/53 = 5

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FAQs on Factors of 265

1.What are the factors of 265?

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2.Mention the prime factors of 265.

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3.Is 265 a multiple of 5?

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4.Mention the factor pairs of 265?

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5.What is the square of 265?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 265?

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7.What are some fun ways kids in Qatar can practice Factors of 265 with numbers?

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8.What role do numbers and Factors of 265 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve Factors of 265 skills?

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Important Glossaries for Factors of 265

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 265 are 1, 5, 53, and 265

    .
  • Prime factors: The factors which are prime numbers. For example, 5 and 53 are prime factors of 265.

     
  • 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 265 are (1, 265) and (5, 53).

     
  • Multiple: A number that can be divided by another number without a remainder. For example, 265 is a multiple of 5.

     
  • Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 265 is 5 × 53.
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About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 265 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math journey!
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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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Fun Fact

: She loves to read number jokes and games.

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