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 1747, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1747 evenly are known as factors of 1747.
A factor of 1747 is a number that divides the number without remainder.
The factors of 1747 are 1, 17, 103, and 1747.
Negative factors of 1747: -1, -17, -103, and -1747.
Prime factors of 1747: 17 and 103.
Prime factorization of 1747: 17 × 103.
The sum of factors of 1747: 1 + 17 + 103 + 1747 = 1868
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 1747. Identifying the numbers which are multiplied to get the number 1747 is the multiplication method.
Step 1: Multiply 1747 by 1, 1747 × 1 = 1747.
Step 2: Check for other numbers that give 1747 after multiplying
17 × 103 = 1747
Therefore, the positive factor pairs of 1747 are: (1, 1747) and (17, 103).
All these factor pairs result in 1747.
For every positive factor, there is a negative factor.
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 1747 by 1, 1747 ÷ 1 = 1747.
Step 2: Continue dividing 1747 by the numbers until the remainder becomes 0.
1747 ÷ 1 = 1747
1747 ÷ 17 = 103
Therefore, the factors of 1747 are: 1, 17, 103, 1747.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1747 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1747 ÷ 17 = 103
103 ÷ 103 = 1
The prime factors of 1747 are 17 and 103.
The prime factorization of 1747 is: 17 × 103.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1747 is divided by 17 to get 103.
Step 2: Now divide 103 by 103 to get 1. Here, both 17 and 103 are prime numbers and cannot be divided anymore.
So, the prime factorization of 1747 is: 17 × 103.
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 1747: (1, 1747) and (17, 103).
Negative factor pairs of 1747: (-1, -1747) and (-17, -103).
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 17 teams and 1747 participants. How will they distribute it equally?
Each team will have 103 participants.
To distribute the participants equally, we need to divide the total participants with the number of teams.
1747/17 = 103
A rectangular garden has a width of 17 meters and a total area of 1747 square meters. Find the length?
103 meters.
To find the length of the garden, we use the formula,
Area = length × width
1747 = length × 17
To find the value of length, we need to shift 17 to the left side.
1747/17 = length
Length = 103.
There are 103 containers and 1747 liters of water. How many liters will be in each container?
Each container will have 17 liters.
To find the liters in each container, divide the total liters with the containers.
1747/103 = 17
In a class, there are 1747 students, and 17 groups. How many students are there in each group?
There are 103 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1747/17 = 103
1747 plants need to be arranged in 17 rows. How many plants will go in each row?
Each row will have 103 plants.
Divide total plants with rows.
1747/17 = 103
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.