Factors of 4225
2026-02-28 10:29 Diff
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Last updated on December 12, 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 4225, how they are used in real life, and tips to learn them quickly.

What are the Factors of 4225?

The numbers that divide 4225 evenly are known as factors of 4225.

A factor of 4225 is a number that divides the number without remainder.

The factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, and 4225.

Negative factors of 4225: -1, -5, -13, -25, -65, -169, -325, -845, and -4225.

Prime factors of 4225: 5 and 13.

Prime factorization of 4225: (52 times 132).

The sum of factors of 4225: 1 + 5 + 13 + 25 + 65 + 169 + 325 + 845 + 4225 = 5673

How to Find Factors of 4225?

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 4225. Identifying the numbers which are multiplied to get the number 4225 is the multiplication method.

Step 1: Multiply 4225 by 1, 4225 × 1 = 4225.

Step 2: Check for other numbers that give 4225 after multiplying

5 × 845 = 4225

13 × 325 = 4225

25 × 169 = 4225

65 × 65 = 4225

Therefore, the positive factor pairs of 4225 are: (1, 4225), (5, 845), (13, 325), (25, 169), and (65, 65). All these factor pairs result in 4225.

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given number with 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 4225 by 1, 4225 ÷ 1 = 4225.

Step 2: Continue dividing 4225 by the numbers until the remainder becomes 0.

4225 ÷ 1 = 4225

4225 ÷ 5 = 845

4225 ÷ 13 = 325

4225 ÷ 25 = 169

4225 ÷ 65 = 65

Therefore, the factors of 4225 are: 1, 5, 13, 25, 65, 169, 325, 845, 4225.

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: In this process, prime factors of 4225 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

4225 ÷ 5 = 845

845 ÷ 5 = 169

169 ÷ 13 = 13

13 ÷ 13 = 1

The prime factors of 4225 are 5 and 13.

The prime factorization of 4225 is: (52 times 132).

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show

Step 1: Firstly, 4225 is divided by 5 to get 845.

Step 2: Now divide 845 by 5 to get 169.

Step 3: Then divide 169 by 13 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4225 is: (52 times 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 4225: (1, 4225), (5, 845), (13, 325), (25, 169), and (65, 65).

Negative factor pairs of 4225: (-1, -4225), (-5, -845), (-13, -325), (-25, -169), and (-65, -65).

Common Mistakes and How to Avoid Them in Factors of 4225

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

You have 845 apples and want to distribute them equally among 5 baskets. How many apples will each basket have?

Okay, lets begin

Each basket will have 169 apples.

Explanation

To distribute the apples equally, divide the total apples by the number of baskets.

845/5 = 169

Well explained 👍

Problem 2

A square garden has a total area of 4225 square meters. What is the length of each side?

Okay, lets begin

65 meters.

Explanation

To find the length of each side of the square, take the square root of the area.

(sqrt{4225} = 65).

Well explained 👍

Problem 3

You need to arrange 325 chairs in 13 rows. How many chairs will each row have?

Okay, lets begin

Each row will have 25 chairs.

Explanation

To find the number of chairs in each row, divide the total chairs by the number of rows.

325/13 = 25

Well explained 👍

Problem 4

A rectangular plot has a length of 25 meters and a total area of 845 square meters. Find the width.

Okay, lets begin

33.8 meters.

Explanation

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

845 = 25 × width

To find the value of width, divide the area by the length.

845/25 = 33.8

Well explained 👍

Problem 5

A company needs to ship 169 packages equally among 13 trucks. How many packages will each truck carry?

Okay, lets begin

Each truck will carry 13 packages.

Explanation

Divide the total packages by the number of trucks.

169/13 = 13

Well explained 👍

FAQs on Factors of 4225

1.What are the factors of 4225?

1, 5, 13, 25, 65, 169, 325, 845, 4225 are the factors of 4225.

2.Mention the prime factors of 4225.

The prime factors of 4225 are (52 times 132).

3.Is 4225 a multiple of 13?

4.Mention the factor pairs of 4225.

(1, 4225), (5, 845), (13, 325), (25, 169), and (65, 65) are the factor pairs of 4225.

5.What is the square of 65?

Important Glossaries for Factors of 4225

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4225 are 1, 5, 13, etc.
  • Prime factors: The factors which are prime numbers. For example, 5 and 13 are prime factors of 4225.
  • 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 4225 are (1, 4225), (5, 845), etc.
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 4225 is (52 times 132).
  • Perfect square: A number that is the square of an integer. For example, 4225 is a perfect square because it is (652).

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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.