Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 teams and 1767 points. How will they share it equally?
They will get 589 points each.
To divide the points equally, we need to divide the total points by the number of teams.
1767/3 = 589
A garden has a length of 3 meters and a total area of 1767 square meters. Find the width.
589 meters.
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.
There are 589 containers and 1767 liters of liquid. How many liters will be in each container?
Each container will have 3 liters.
To find the liters in each container, divide the total liters by the number of containers.
1767/589 = 3
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.
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1767/589 = 3
1767 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 589 books.
Divide total books by shelves.
1767/3 = 589
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.
: She loves to read number jokes and games.