131 LearnersLast updated on May 26th, 2025
Factors of 1767
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 1767, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1767?
The numbers that divide 1767 evenly are known as factors of 1767.
A factor of 1767 is a number that divides the number without remainder.
The factors of 1767 are 1, 3, 589, and 1767.
Negative factors of 1767: -1, -3, -589, and -1767.
Prime factors of 1767: 3 and 589.
Prime factorization of 1767: 3 × 589.
The sum of factors of 1767: 1 + 3 + 589 + 1767 = 2360
How to Find Factors of 1767?
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 1767. Identifying the numbers which are multiplied to get the number 1767 is the multiplication method.
Step 1: Multiply 1767 by 1, 1767 × 1 = 1767.
Step 2: Check for other numbers that give 1767 after multiplying: 3 × 589 = 1767
Therefore, the positive factor pairs of 1767 are: (1, 1767) and (3, 589).
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 1767 by 1, 1767 ÷ 1 = 1767.
Step 2: Continue dividing 1767 by the numbers until the remainder becomes 0.
1767 ÷ 1 = 1767
1767 ÷ 3 = 589
Therefore, the factors of 1767 are: 1, 3, 589, and 1767.
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 1767 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1767 ÷ 3 = 589
589 ÷ 589 = 1
The prime factors of 1767 are 3 and 589. The prime factorization of 1767 is: 3 × 589.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1767 is divided by 3 to get 589.
Step 2: Now divide 589 by 589 to get 1. Here, 589 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1767 is: 3 × 589.
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 1767: (1, 1767) and (3, 589).
Negative factor pairs of 1767: (-1, -1767) and (-3, -589).
Common Mistakes and How to Avoid Them in Factors of 1767
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 1767, 1 and 1767 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. However, there are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1767 consist of -1, -3, -589, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, considering 1.5 as a factor because 1767/1.5 = 1178, which 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 1767 are prime numbers.
For example, 3 and 589 are the prime factors of 1767, but it has other factors like 1 and 1767.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1767 as 3 × 589 and missing key factors.
Factors of 1767 Examples
Problem 1
There are 3 teams and 1767 points. How will they share it equally?
They will get 589 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1767/3 = 589
Problem 2
A garden has a length of 3 meters and a total area of 1767 square meters. Find the width.
589 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1767 = 3 × width
To find the value of the width, we need to shift 3 to the left side.
1767/3 = width
Width = 589.
Problem 3
There are 589 containers and 1767 liters of liquid. How many liters will be in each container?
Each container will have 3 liters.
Explanation
To find the liters in each container, divide the total liters by the number of containers.
1767/589 = 3
Problem 4
In a hall, there are 1767 chairs, and 589 rows. How many chairs are there in each row?
There are 3 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1767/589 = 3
Problem 5
1767 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 589 books.
Explanation
Divide total books by shelves.
1767/3 = 589
FAQs on Factors of 1767
1.What are the factors of 1767?
2.Mention the prime factors of 1767.
3.Is 1767 a multiple of 3?
4.Mention the factor pairs of 1767?
5.What is the square of 1767?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1767?
7.What are some fun ways kids in Bahrain can practice Factors of 1767 with numbers?
8.What role do numbers and Factors of 1767 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1767 skills?
Important Glossaries for Factors of 1767
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1767 are 1, 3, 589, and 1767.
- Prime factors: The factors which are prime numbers. For example, 3 and 589 are prime factors of 1767.
- 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 1767 are (1, 1767) and (3, 589).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1767 is 3 × 589.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number. For example, 3 × 589 = 1767.
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About BrightChamps in Bahrain
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.
