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 1711, how they are used in real life, and tips to learn them quickly.
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
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 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.
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.
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, 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.
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).
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 1711 apples, and each basket can hold 1 apple. How many baskets are needed?
1711 baskets are needed.
To find the number of baskets required, we divide the total apples by the number of apples each basket holds.
1711/1 = 1711
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.
To find the area of the garden, we use the formula,
Area = length × width
1711 = 1711 × 1
There are 1711 books, and each shelf can hold only 1 book. How many shelves are needed?
1711 shelves are needed.
To find the number of shelves needed, divide the total books by the number of books each shelf holds.
1711/1 = 1711
A runner runs 1711 meters every day. How many days will it take to run 1711 meters?
1 day.
Dividing the total distance by the distance run each day gives the number of days needed.
1711/1711 = 1
There are 1711 students, and each classroom can hold 1 student. How many classrooms are required?
1711 classrooms are required.
Divide the total number of students by the number of students each classroom can hold.
1711/1 = 1711
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.