125 LearnersLast updated on May 26th, 2025
Factors of 1567
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 1567, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1567?
The numbers that divide 1567 evenly are known as factors of 1567. A factor of 1567 is a number that divides the number without a remainder. The factors of 1567 are 1, 37, 43, and 1567.
Negative factors of 1567: -1, -37, -43, and -1567.
Prime factors of 1567: 37 and 43.
Prime factorization of 1567: 37 × 43.
The sum of factors of 1567: 1 + 37 + 43 + 1567 = 1648
How to Find Factors of 1567?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1567. Identifying the numbers which are multiplied to get the number 1567 is the multiplication method.
Step 1: Multiply 1567 by 1, 1567 × 1 = 1567.
Step 2: Check for other numbers that give 1567 after multiplying 37 × 43 = 1567
Therefore, the positive factor pairs of 1567 are: (1, 1567) and (37, 43). All these factor pairs result in 1567. 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 1567 by 1, 1567 ÷ 1 = 1567.
Step 2: Continue dividing 1567 by the numbers until the remainder becomes 0.
1567 ÷ 1 = 1567
1567 ÷ 37 = 43
1567 ÷ 43 = 37
Therefore, the factors of 1567 are: 1, 37, 43, and 1567.
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 1567 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1567 ÷ 37 = 43
43 ÷ 43 = 1
The prime factors of 1567 are 37 and 43. The prime factorization of 1567 is: 37 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1567 is divided by 37 to get 43. Here, 43 is a prime number, that cannot be divided anymore. So, the prime factorization of 1567 is: 37 × 43.
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 1567: (1, 1567) and (37, 43).
- Negative factor pairs of 1567: (-1, -1567) and (-37, -43).
Common Mistakes and How to Avoid Them in Factors of 1567
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 1567, 1 and 1567 are also factors.
Factors of 1567 Examples
Problem 1
There are 37 students and 1567 candies. How will they divide it equally?
They will get 43 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
1567/37 = 43
Problem 2
A rectangular piece of land has a length of 37 meters and a total area of 1567 square meters. Find the width.
43 meters.
Explanation
To find the width of the land, we use the formula,
Area = length × width
1567 = 37 × width
To find the value of width, we need to shift 37 to the left side.
1567/37 = width
Width = 43.
Problem 3
There are 43 packets and 1567 marbles. How many marbles will be in each packet?
Each packet will have 37 marbles.
Explanation
To find the marbles in each packet, divide the total marbles by the packets.
1567/43 = 37
Problem 4
In a class, there are 1567 students, and 43 groups. How many students are there in each group?
There are 37 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1567/43 = 37
Problem 5
1567 books need to be arranged in 43 shelves. How many books will go on each shelf?
Each of the shelves has 37 books.
Explanation
Divide total books by shelves.
1567/43 = 37
FAQs on Factors of 1567
1.What are the factors of 1567?
2.Mention the prime factors of 1567.
3.Is 1567 a multiple of 37?
4.Mention the factor pairs of 1567?
5.What is the square of 1567?
6.How can children in Canada use numbers in everyday life to understand Factors of 1567?
7.What are some fun ways kids in Canada can practice Factors of 1567 with numbers?
8.What role do numbers and Factors of 1567 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1567 skills?
Important Glossaries for Factor of 1567
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1567 are 1, 37, 43, and 1567.
- Prime factors: The factors which are prime numbers. For example, 37 and 43 are prime factors of 1567.
- 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 1567 are (1, 1567) and (37, 43).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to a given number. For example, 37 × 43 = 1567.
- Division method: A method to find factors by dividing the number by integers until the remainder is zero. For example, dividing 1567 by 37 gives 43, a factor.
Explore More numbers
Previous to Factors of 1567
About BrightChamps in Canada
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.
