121 LearnersLast updated on May 26th, 2025
Factors of 1718
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 1718, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1718?
The numbers that divide 1718 evenly are known as factors of 1718.
A factor of 1718 is a number that divides the number without remainder.
The factors of 1718 are 1, 2, 859, and 1718.
Negative factors of 1718: -1, -2, -859, -1718.
Prime factors of 1718: 2 and 859.
Prime factorization of 1718: 2 × 859.
The sum of factors of 1718: 1 + 2 + 859 + 1718 = 2580
How to Find Factors of 1718?
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 1718. Identifying the numbers which are multiplied to get the number 1718 is the multiplication method.
Step 1: Multiply 1718 by 1, 1718 × 1 = 1718.
Step 2: Check for other numbers that give 1718 after multiplying 2 × 859 = 1718
Therefore, the positive factor pairs of 1718 are: (1, 1718) and (2, 859).
All these factor pairs result in 1718.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1718 by 1, 1718 ÷ 1 = 1718.
Step 2: Continue dividing 1718 by the numbers until the remainder becomes 0.
1718 ÷ 1 = 1718
1718 ÷ 2 = 859
Therefore, the factors of 1718 are: 1, 2, 859, and 1718.
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 1718 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1718 ÷ 2 = 859
859 ÷ 859 = 1
The prime factors of 1718 are 2 and 859.
The prime factorization of 1718 is: 2 × 859.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1718 is divided by 2 to get 859.
Step 2: Now divide 859 by 859 to get 1. Here, 859 is a prime number, which cannot be divided anymore. So, the prime factorization of 1718 is: 2 × 859.
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 1718: (1, 1718) and (2, 859).
Negative factor pairs of 1718: (-1, -1718) and (-2, -859).
Common Mistakes and How to Avoid Them in Factors of 1718
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 1718, 1 and 1718 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 1718 include -1, -2, -859, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly include fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1718/1.5 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 1718 are prime numbers.
For example, 2 and 859 are the prime factors of 1718, but it has other factors such as 1 and 1718.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking 1718 as 2 × 859 and missing key factors.
Factors of 1718 Examples
Problem 1
There are 859 chairs and 1718 seats. How will they be arranged equally in pairs?
They will be arranged in pairs of 2.
Explanation
To arrange the seats equally in pairs, we divide the total seats by the number of chairs.
1718/859 = 2
Problem 2
A rectangular plot has a length of 2 meters and a total area of 1718 square meters. Find the width.
859 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1718 = 2 × width
To find the width, divide the area by the length.
1718/2 = width
Width = 859.
Problem 3
A total of 1718 candies need to be packed into bags of 859 candies each. How many bags are required?
2 bags are required.
Explanation
To find the number of bags, divide the total candies by candies per bag.
1718/859 = 2
Problem 4
In a classroom with 1718 students, they need to be divided into 859 teams. How many students are in each team?
There are 2 students in each team.
Explanation
Divide the students by the total teams to find the number of students in each team.
1718/859 = 2
Problem 5
1718 apples need to be placed in 2 boxes. How many apples will go in each box?
Each box will have 859 apples.
Explanation
Divide the total apples by the number of boxes.
1718/2 = 859
FAQs on Factors of 1718
1.What are the factors of 1718?
2.Mention the prime factors of 1718.
3.Is 1718 a multiple of 2?
4.Mention the factor pairs of 1718?
5.What is the square of 1718?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1718?
7.What are some fun ways kids in Qatar can practice Factors of 1718 with numbers?
8.What role do numbers and Factors of 1718 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1718 skills?
Important Glossaries for Factors of 1718
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1718 are 1, 2, 859, and 1718.
- Prime factors: The factors which are prime numbers. For example, 2 and 859 are prime factors of 1718.
- 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 1718 are (1, 1718) and (2, 859).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 1718 = 2 × 859.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1718 is a multiple of 2.
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About BrightChamps in Qatar
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.
