100 LearnersLast updated on May 26th, 2025
Factors of 1525
Factors are the numbers that divide any given number evenly without a 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 1525, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1525?
The numbers that divide 1525 evenly are known as factors of 1525.
A factor of 1525 is a number that divides the number without a remainder.
The factors of 1525 are 1, 5, 25, 61, 305, and 1525.
Negative factors of 1525: -1, -5, -25, -61, -305, and -1525.
Prime factors of 1525: 5 and 61.
Prime factorization of 1525: 5 × 61.
The sum of factors of 1525: 1 + 5 + 25 + 61 + 305 + 1525 = 1922
How to Find Factors of 1525?
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 1525. Identifying the numbers which are multiplied to get the number 1525 is the multiplication method.
Step 1: Multiply 1525 by 1, 1525 × 1 = 1525.
Step 2: Check for other numbers that give 1525 after multiplying
5 × 305 = 1525
25 × 61 = 1525
Therefore, the positive factor pairs of 1525 are: (1, 1525), (5, 305), and (25, 61). All these factor pairs result in 1525. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1525 by 1, 1525 ÷ 1 = 1525.
Step 2: Continue dividing 1525 by the numbers until the remainder becomes 0.
1525 ÷ 1 = 1525
1525 ÷ 5 = 305
1525 ÷ 25 = 61
Therefore, the factors of 1525 are: 1, 5, 25, 61, 305, 1525.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1525 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1525 ÷ 5 = 305
305 ÷ 5 = 61
61 ÷ 61 = 1
The prime factors of 1525 are 5 and 61.
The prime factorization of 1525 is: 5 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1525 is divided by 5 to get 305.
Step 2: Now divide 305 by 5 to get 61.
Step 3: 61 is a prime number and cannot be divided further. So, the prime factorization of 1525 is: 5 × 61.
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 1525: (1, 1525), (5, 305), and (25, 61).
Negative factor pairs of 1525: (-1, -1525), (-5, -305), and (-25, -61).
Common Mistakes and How to Avoid Them in Factors of 1525
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1525, 1 and 1525 are also factors.
Factors of 1525 Examples
Problem 1
There are 5 groups and 1525 items. How will they divide it equally?
They will get 305 items each.
Explanation
To divide the items equally, we need to divide the total items by the number of groups.
1525/5 = 305
Problem 2
A rectangular poster has a length of 25 inches and a total area of 1525 square inches. Find the width?
61 inches.
Explanation
To find the width of the poster, we use the formula, Area = length × width
1525 = 25 × width
To find the value of width, we need to shift 25 to the left side.
1525/25 = width
Width = 61.
Problem 3
There are 61 boxes and 1525 items. How many items will be in each box?
Each box will have 25 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1525/61 = 25
Problem 4
In an auditorium, there are 1525 chairs, and 25 rows. How many chairs are there in each row?
There are 61 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1525/25 = 61
Problem 5
1525 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 305 books.
Explanation
Divide total books by shelves.
1525/5 = 305
FAQs on Factors of 1525
1.What are the factors of 1525?
2.Mention the prime factors of 1525.
3.Is 1525 a multiple of 25?
4.Mention the factor pairs of 1525?
5.What is the square of 1525?
6.How can children in Canada use numbers in everyday life to understand Factors of 1525?
7.What are some fun ways kids in Canada can practice Factors of 1525 with numbers?
8.What role do numbers and Factors of 1525 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1525 skills?
Important Glossaries for Factor of 1525
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1525 are 1, 5, 25, 61, 305, and 1525.
- Prime factors: The factors which are prime numbers. For example, 5 and 61 are prime factors of 1525.
- 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 1525 are (1, 1525), (5, 305), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1525 is 5 × 61.
- Multiple: A number that can be divided by another number without a remainder. For example, 1525 is a multiple of 25.
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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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