122 LearnersLast updated on May 26th, 2025
Factors of 1726
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 1726, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1726?
The numbers that divide 1726 evenly are known as factors of 1726.
A factor of 1726 is a number that divides the number without remainder.
The factors of 1726 are 1, 2, 863, and 1726.
Negative factors of 1726: -1, -2, -863, and -1726.
Prime factors of 1726: 2 and 863.
Prime factorization of 1726: 2 × 863.
The sum of factors of 1726: 1 + 2 + 863 + 1726 = 2592
How to Find Factors of 1726?
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 1726. Identifying the numbers which are multiplied to get the number 1726 is the multiplication method.
Step 1: Multiply 1726 by 1, 1726 × 1 = 1726.
Step 2: Check for other numbers that give 1726 after multiplying 2 × 863 = 1726
Therefore, the positive factor pairs of 1726 are: (1, 1726) and (2, 863).
All these factor pairs result in 1726.
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 1726 by 1, 1726 ÷ 1 = 1726.
Step 2: Continue dividing 1726 by the numbers until the remainder becomes 0.
1726 ÷ 1 = 1726
1726 ÷ 2 = 863
Therefore, the factors of 1726 are: 1, 2, 863, 1726.
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 1726 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1726 ÷ 2 = 863
The prime factors of 1726 are 2 and 863.
The prime factorization of 1726 is: 2 × 863.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1726 is divided by 2 to get 863. Here, 863 is a prime number that cannot be divided anymore. So, the prime factorization of 1726 is: 2 × 863.
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 1726: (1, 1726) and (2, 863).
Negative factor pairs of 1726: (-1, -1726) and (-2, -863).
Common Mistakes and How to Avoid Them in Factors of 1726
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1726, 1 and 1726 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1726 consist of -1, -2, -863, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1726/1.5 = 1150.666, and it 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 1726 are prime numbers.
For example, 2 and 863 are the prime factors of 1726, but it has other factors like 1 and 1726.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1726 as 2 × 863 and missing all the key factors.
Factors of 1726 Examples
Problem 1
There are 2 teams and 1726 apples. How will they divide them equally?
They will get 863 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
1726/2 = 863
Problem 2
A rectangular garden has a length of 2 meters and a total area of 1726 square meters. Find the width.
863 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1726 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1726/2 = width
Width = 863.
Problem 3
There are 863 students and 1726 candies. How many candies will each student get?
Each student will get 2 candies.
Explanation
To find the candies per student, divide the total candies by the number of students.
1726/863 = 2
Problem 4
In a class, there are 1726 books, and 2 shelves. How many books are there on each shelf?
There are 863 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1726/2 = 863
Problem 5
1726 marbles need to be arranged in 1 box. How many marbles will go in the box?
All 1726 marbles will go in the box.
Explanation
Divide total marbles by boxes.
1726/1 = 1726
FAQs on Factors of 1726
1.What are the factors of 1726?
2.Mention the prime factors of 1726.
3.Is 1726 a multiple of 2?
4.Mention the factor pairs of 1726?
5.What is the square of 1726?
6.How can children in India use numbers in everyday life to understand Factors of 1726?
7.What are some fun ways kids in India can practice Factors of 1726 with numbers?
8.What role do numbers and Factors of 1726 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1726 skills?
Important Glossaries for Factor of 1726
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1726 are 1, 2, 863, and 1726.
- Prime factors: The factors which are prime numbers. For example, 2 and 863 are the prime factors of 1726.
- 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 1726 are (1, 1726) and (2, 863).
- Prime factorization: Breaking down a number into its basic prime number components. For example, the prime factorization of 1726 is 2 × 863.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 1726 are -1, -2, -863, and -1726.
Explore More numbers
About BrightChamps in India
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.
