123 LearnersLast updated on May 26th, 2025
Factors of 4225
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.
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
- Using factor tree
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.
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 4225, 1 and 4225 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 4225 include -1, -5, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 4225/2.5 = 1690, 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 4225 are prime numbers. For example, 5 and 13 are the prime factors of 4225, but it has other factors like 25, 65.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 4225 as (52 times 132) and missing all the key factors.
Factors of 4225 Examples
Problem 1
You have 845 apples and want to distribute them equally among 5 baskets. How many apples will each basket have?
Each basket will have 169 apples.
Explanation
To distribute the apples equally, divide the total apples by the number of baskets.
845/5 = 169
Problem 2
A square garden has a total area of 4225 square meters. What is the length of each side?
65 meters.
Explanation
To find the length of each side of the square, take the square root of the area.
(sqrt{4225} = 65).
Problem 3
You need to arrange 325 chairs in 13 rows. How many chairs will each row have?
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
Problem 4
A rectangular plot has a length of 25 meters and a total area of 845 square meters. Find the width.
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
Problem 5
A company needs to ship 169 packages equally among 13 trucks. How many packages will each truck carry?
Each truck will carry 13 packages.
Explanation
Divide the total packages by the number of trucks.
169/13 = 13
FAQs on Factors of 4225
1.What are the factors of 4225?
2.Mention the prime factors of 4225.
3.Is 4225 a multiple of 13?
4.Mention the factor pairs of 4225.
5.What is the square of 65?
6.How can children in India use numbers in everyday life to understand Factors of 4225?
7.What are some fun ways kids in India can practice Factors of 4225 with numbers?
8.What role do numbers and Factors of 4225 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 4225 skills?
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
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