132 LearnersLast updated on May 26th, 2025
Factors of 1731
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.
What are the Factors of 1731?
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
How to Find Factors of 1731?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1731
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 1731, 1 and 1731 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1731 include -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1731/1.5 = 1154, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 1731 are prime numbers.
For example, 3 and 577 are the prime factors of 1731, but it also has other factors like 1 and 1731.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 1731 as 3 × 577 and missing all the key factors.
Factors of 1731 Examples
Problem 1
There are 3 teams and 1731 candies. How will they divide it equally?
They will get 577 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
1731/3 = 577
Problem 2
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.
Explanation
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.
Problem 3
There are 577 bags and 1731 apples. How many apples will be in each bag?
Each bag will have 3 apples.
Explanation
To find the apples in each bag, divide the total apples by the number of bags.
1731/577 = 3
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1731/3 = 577
Problem 5
1731 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 577 books.
Explanation
Divide total books by shelves.
1731/3 = 577
FAQs on Factors of 1731
1.What are the factors of 1731?
2.Mention the prime factors of 1731.
3.Is 1731 a multiple of 3?
4.Mention the factor pairs of 1731?
5.What is the square of 1731?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1731?
7.What are some fun ways kids in Bahrain can practice Factors of 1731 with numbers?
8.What role do numbers and Factors of 1731 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1731 skills?
Important Glossaries for Factor of 1731
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1731 are 1, 3, 577, and 1731.
- Prime factors: The factors which are prime numbers. For example, 3 and 577 are prime factors of 1731.
- 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 1731 are (1, 1731) and (3, 577).
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 1731 is 3 × 577.
- Negative factors: Factors that are negative. For example, the negative factors of 1731 are -1, -3, -577, and -1731.
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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.
