128 LearnersLast updated on May 26th, 2025
Factors of 1025
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 1025, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1025?
The numbers that divide 1025 evenly are known as factors of 1025.
A factor of 1025 is a number that divides the number without remainder.
The factors of 1025 are 1, 5, 25, 41, 205, and 1025.
-1, -5, -25, -41, -205, and -1025.
Prime factors of 1025: 5 and 41.
Prime factorization of 1025: 5 × 205 = 5 × (5 × 41).
The sum of factors of 1025: 1 + 5 + 25 + 41 + 205 + 1025 = 1302
How to Find Factors of 1025?
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 1025. Identifying the numbers which are multiplied to get the number 1025 is the multiplication method.
Step 1: Multiply 1025 by 1, 1025 × 1 = 1025.
Step 2: Check for other numbers that give 1025 after multiplying
5 × 205 = 1025
25 × 41 = 1025
Therefore, the positive factor pairs of 1025 are: (1, 1025), (5, 205), (25, 41). All these factor pairs result in 1025. 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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1025 by 1, 1025 ÷ 1 = 1025.
Step 2: Continue dividing 1025 by the numbers until the remainder becomes 0.
1025 ÷ 1 = 1025
1025 ÷ 5 = 205
1025 ÷ 25 = 41
Therefore, the factors of 1025 are: 1, 5, 25, 41, 205, 1025.
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 1025 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1025 ÷ 5 = 205
205 ÷ 5 = 41
41 ÷ 41 = 1
The prime factors of 1025 are 5 and 41.
The prime factorization of 1025 is: 5 × 5 × 41.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1025 is divided by 5 to get 205.
Step 2: Now divide 205 by 5 to get 41.
Step 3: Here, 41 is a prime number, so it cannot be divided further. So, the prime factorization of 1025 is: 5 × 5 × 41.
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 1025: (1, 1025), (5, 205), (25, 41).
Negative factor pairs of 1025: (-1, -1025), (-5, -205), (-25, -41).
Common Mistakes and How to Avoid Them in Factors of 1025
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 1025, 1 and 1025 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1025 consist of -1, -5, -25, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 2.5 as a factor is incorrect because 1025/2.5 does not yield 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 1025 are prime numbers. In this case, 5 and 41 are the prime factors of 1025, but it has other factors like 25, 205.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1025 as 5 × 5 × 41 and missing all the key factors.
Factors of 1025 Examples
Problem 1
A concert hall has 1025 seats. If each row has 25 seats, how many rows are there?
There will be 41 rows.
Explanation
To find the number of rows, divide the total number of seats by the number of seats per row.
1025/25 = 41
Problem 2
A bookstore has 1025 books to arrange equally on 5 shelves. How many books will each shelf have?
Each shelf will have 205 books.
Explanation
To find the number of books per shelf, divide the total books by the number of shelves.
1025/5 = 205
Problem 3
A farmer has 1025 apples and wants to pack them into boxes, each containing 205 apples. How many boxes does he need?
The farmer needs 5 boxes.
Explanation
To find the number of boxes needed, divide the total apples by the number of apples per box.
1025/205 = 5
Problem 4
A school has 1025 students participating in an event. If each group can have 41 students, how many groups can be formed?
There will be 25 groups.
Explanation
To find the number of groups, divide the total students by the number of students per group.
1025/41 = 25
Problem 5
A library has 1025 books and wants to create stacks of 5 books each. How many stacks will there be?
There will be 205 stacks.
Explanation
Divide the total number of books by the number of books per stack.
1025/5 = 205
FAQs on Factors of 1025
1.What are the factors of 1025?
2.Mention the prime factors of 1025.
3.Is 1025 a multiple of 5?
4.Mention the factor pairs of 1025?
5.What is the square of 1025?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1025?
7.What are some fun ways kids in Vietnam can practice Factors of 1025 with numbers?
8.What role do numbers and Factors of 1025 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1025 skills?
Important Glossaries for Factor of 1025
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1025 are 1, 5, 25, 41, 205, and 1025.
- Prime factors: The factors which are prime numbers. For example, 5 and 41 are prime factors of 1025.
- 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 1025 are (1, 1025), (5, 205), etc.
- Prime factorization: Breaking down a number into its prime components. For example, the prime factorization of 1025 is 5 × 5 × 41.
- Negative factors: Factors that are less than zero. For example, -1, -5, -25, -41, -205, and -1025 are the negative factors of 1025.
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About BrightChamps in Vietnam
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.
