118 LearnersLast updated on May 26th, 2025
Factors of 1537
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 1537, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1537?
The numbers that divide 1537 evenly are known as factors of 1537. A factor of 1537 is a number that divides the number without remainder. The factors of 1537 are 1, 37, 41, and 1537.
Negative factors of 1537: -1, -37, -41, and -1537.
Prime factors of 1537: 37 and 41.
Prime factorization of 1537: 37 × 41.
The sum of factors of 1537: 1 + 37 + 41 + 1537 = 1616
How to Find Factors of 1537?
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 1537. Identifying the numbers which are multiplied to get the number 1537 is the multiplication method.
Step 1: Multiply 1537 by 1, 1537 × 1 = 1537.
Step 2: Check for other numbers that give 1537 after multiplying 37 × 41 = 1537
Therefore, the positive factor pairs of 1537 are: (1, 1537), (37, 41). 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 1537 by 1, 1537 ÷ 1 = 1537.
Step 2: Continue dividing 1537 by the numbers until the remainder becomes 0.
1537 ÷ 1 = 1537
1537 ÷ 37 = 41
1537 ÷ 41 = 37
Therefore, the factors of 1537 are: 1, 37, 41, 1537.
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 1537 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1537 ÷ 37 = 41
41 ÷ 41 = 1
The prime factors of 1537 are 37 and 41. The prime factorization of 1537 is: 37 × 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, 1537 is divided by 37 to get 41.
Step 2: Divide 41 by 41 to get 1. Here, both 37 and 41 are prime numbers, that cannot be divided further. So, the prime factorization of 1537 is: 37 × 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 1537: (1, 1537), (37, 41).
- Negative factor pairs of 1537: (-1, -1537), (-37, -41).
Common Mistakes and How to Avoid Them in Factors of 1537
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 1537, 1 and 1537 are also factors.
Factors of 1537 Examples
Problem 1
There is a conference with 1537 attendees. How can they be grouped equally into 37 rooms?
Each room will have 41 attendees.
Explanation
To divide the attendees equally, we need to divide the total attendees by the number of rooms.
1537/37 = 41
Problem 2
A rectangular parking lot is 41 meters wide and has a total area of 1537 square meters. What is the length?
37 meters.
Explanation
To find the length of the parking lot, we use the formula,
Area = length × width
1537 = length × 41
To find the value of length, we need to divide 1537 by 41.
1537/41 = length
Length = 37.
Problem 3
A shipment contains 1537 packages and needs to be divided into 41 equal loads. How many packages will each load contain?
Each load will contain 37 packages.
Explanation
To find the number of packages in each load, divide the total packages by the number of loads.
1537/41 = 37
Problem 4
A farmer has 1537 apples and wants to store them in 37 baskets. How many apples will each basket contain?
Each basket will have 41 apples.
Explanation
Dividing the apples by the total baskets will give the number of apples in each basket.
1537/37 = 41
Problem 5
A library has 1537 books that need to be arranged evenly in 37 shelves. How many books will go on each shelf?
Each of the shelves will have 41 books.
Explanation
Divide total books by shelves.
1537/37 = 41
FAQs on Factors of 1537
1.What are the factors of 1537?
2.Mention the prime factors of 1537.
3.Is 1537 a multiple of 37?
4.Mention the factor pairs of 1537?
5.What is the square of 1537?
6.How can children in Canada use numbers in everyday life to understand Factors of 1537?
7.What are some fun ways kids in Canada can practice Factors of 1537 with numbers?
8.What role do numbers and Factors of 1537 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1537 skills?
Important Glossaries for Factors of 1537
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1537 are 1, 37, 41, and 1537.
- Prime factors: The factors which are prime numbers. For example, 37 and 41 are prime factors of 1537.
- 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 1537 are (1, 1537) and (37, 41).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number.
- Division method: A method to find factors by dividing the number by whole numbers until the remainder is zero.
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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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