117 LearnersLast updated on May 26th, 2025
Factors of 1711
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 1711, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1711?
The numbers that divide 1711 evenly are known as factors of 1711.
A factor of 1711 is a number that divides the number without a remainder.
The factors of 1711 are 1 and 1711 because 1711 is a prime number.
Negative factors of 1711: -1 and -1711.
Prime factors of 1711: 1711.
Prime factorization of 1711: 1711.
The sum of factors of 1711: 1 + 1711 = 1712
How to Find Factors of 1711?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using the multiplication method
- 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 1711.
However, since 1711 is a prime number, the only multiplication pair is 1 × 1711.
Therefore, the positive factor pair of 1711 is: (1, 1711).
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 1711 by 1, 1711 ÷ 1 = 1711.
Step 2: No other whole number divides 1711 evenly since it is a prime number.
Therefore, the factors of 1711 are: 1 and 1711.
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, a prime factor of 1711 divides the number until the remainder becomes 1, but since 1711 is a prime number itself, no division is needed other than by 1711.
The prime factor of 1711 is 1711.
The prime factorization of 1711 is: 1711.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1711 is a prime number, the factor tree consists only of 1711 itself. So, the prime factorization of 1711 is: 1711.
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 pair of 1711: (1, 1711).
Negative factor pair of 1711: (-1, -1711).
Common Mistakes and How to Avoid Them in Factors of 1711
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1711, 1 and 1711 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 1711 consist of -1 and -1711.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be factors.
For example, thinking 0.5 is a factor because 1711/0.5 = 3422, which is not a whole number.
Mistake 4
Confusing Factors with Multiples
Remember that factors are numbers that divide evenly into the number, not the numbers that the number divides into.
For example, thinking that 3422 is a factor of 1711 is incorrect; it is a multiple.
Mistake 5
Mistake in Prime Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not recognizing 1711 as a prime number and incorrectly attempting to factor it.
Factors of 1711 Examples
Problem 1
There are 1711 apples, and each basket can hold 1 apple. How many baskets are needed?
1711 baskets are needed.
Explanation
To find the number of baskets required, we divide the total apples by the number of apples each basket holds.
1711/1 = 1711
Problem 2
A garden is rectangular, with a length of 1711 meters and a width of 1 meter. What is the area of the garden?
1711 square meters.
Explanation
To find the area of the garden, we use the formula,
Area = length × width
1711 = 1711 × 1
Problem 3
There are 1711 books, and each shelf can hold only 1 book. How many shelves are needed?
1711 shelves are needed.
Explanation
To find the number of shelves needed, divide the total books by the number of books each shelf holds.
1711/1 = 1711
Problem 4
A runner runs 1711 meters every day. How many days will it take to run 1711 meters?
1 day.
Explanation
Dividing the total distance by the distance run each day gives the number of days needed.
1711/1711 = 1
Problem 5
There are 1711 students, and each classroom can hold 1 student. How many classrooms are required?
1711 classrooms are required.
Explanation
Divide the total number of students by the number of students each classroom can hold.
1711/1 = 1711
FAQs on Factors of 1711
1.What are the factors of 1711?
2.Mention the prime factors of 1711.
3.Is 1711 a prime number?
4.Mention the factor pairs of 1711?
5.Is 1711 divisible by any number other than 1 and itself?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1711?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1711 with numbers?
8.What role do numbers and Factors of 1711 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1711 skills?
Important Glossaries for Factors of 1711
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1711 are 1 and 1711.
- Prime numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. For example, 1711 is a prime number.
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1711 is 1711.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1711 is (1, 1711).
- Negative factors: Factors that are negative integers. For example, -1 and -1711 are negative factors of 1711.
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About BrightChamps in United Arab Emirates
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.
