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 1731, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1731 evenly are known as factors of 1731.
A factor of 1731 is a number that divides the number without remainder.
The factors of 1731 are 1, 3, 577, and 1731.
Negative factors of 1731: -1, -3, -577, and -1731.
Prime factors of 1731: 3 and 577.
Prime factorization of 1731: 3 × 577.
The sum of factors of 1731: 1 + 3 + 577 + 1731 = 2312
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 1731. Identifying the numbers which are multiplied to get the number 1731 is the multiplication method.
Step 1: Multiply 1731 by 1, 1731 × 1 = 1731.
Step 2: Check for other numbers that give 1731 after multiplying 3 × 577 = 1731
Therefore, the positive factor pairs of 1731 are: (1, 1731) and (3, 577).
All these factor pairs result in 1731.
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 1731 by 1, 1731 ÷ 1 = 1731.
Step 2: Continue dividing 1731 by the numbers until the remainder becomes 0.
1731 ÷ 1 = 1731
1731 ÷ 3 = 577
Therefore, the factors of 1731 are: 1, 3, 577, 1731.
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 1731 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1731 ÷ 3 = 577
577 ÷ 577 = 1
The prime factors of 1731 are 3 and 577.
The prime factorization of 1731 is: 3 × 577.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1731 is divided by 3 to get 577.
Step 2: Now divide 577 by 577 to get 1. Here, 577 is the prime number, that cannot be divided anymore.
So, the prime factorization of 1731 is: 3 × 577.
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 1731: (1, 1731) and (3, 577).
Negative factor pairs of 1731: (-1, -1731) and (-3, -577).
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 1731 candies. How will they divide it equally?
They will get 577 candies each.
To divide the candies equally, we need to divide the total candies by the number of teams.
1731/3 = 577
A garden is rectangular, the length of the garden is 3 meters and the total area is 1731 square meters. Find the width?
577 meters.
To find the width of the garden, we use the formula:
Area = length × width
1731 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1731/3 = width
Width = 577.
There are 577 bags and 1731 apples. How many apples will be in each bag?
Each bag will have 3 apples.
To find the apples in each bag, divide the total apples by the number of bags.
1731/577 = 3
In a class, there are 1731 students, and 3 groups. How many students are there in each group?
There are 577 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1731/3 = 577
1731 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 577 books.
Divide total books by shelves.
1731/3 = 577
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.