126 LearnersLast updated on May 26th, 2025
Factors of 1747
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.
What are the Factors of 1747?
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
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How to Find Factors of 1747?
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 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.
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 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.
Prime Factors and Prime Factorization
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
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1747
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 1747, 1 and 1747 is also a factor.
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 1747 consist of -1, -17, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 2.5 as a factor, because 1747/2.5 = 698.8, 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 1747 are prime numbers.
For example, 17 and 103 are the prime factors of 1747, but it has other factors like 1 and 1747.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1747 as 17 × 103 and missing all the key factors.
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Factors of 1747 Examples
Problem 1
There are 17 teams and 1747 participants. How will they distribute it equally?
Each team will have 103 participants.
Explanation
To distribute the participants equally, we need to divide the total participants with the number of teams.
1747/17 = 103
Problem 2
A rectangular garden has a width of 17 meters and a total area of 1747 square meters. Find the length?
103 meters.
Explanation
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.
Problem 3
There are 103 containers and 1747 liters of water. How many liters will be in each container?
Each container will have 17 liters.
Explanation
To find the liters in each container, divide the total liters with the containers.
1747/103 = 17
Problem 4
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.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1747/17 = 103
Problem 5
1747 plants need to be arranged in 17 rows. How many plants will go in each row?
Each row will have 103 plants.
Explanation
Divide total plants with rows.
1747/17 = 103
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FAQs on Factors of 1747
1.What are the factors of 1747?
2.Mention the prime factors of 1747.
3.Is 1747 a multiple of 17?
4.Mention the factor pairs of 1747?
5.What is the square of 1747?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1747?
7.What are some fun ways kids in Bahrain can practice Factors of 1747 with numbers?
8.What role do numbers and Factors of 1747 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1747 skills?
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Important Glossaries for Factors of 1747
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1747 are 1, 17, 103, and 1747.
- Prime factors: The factors which are prime numbers. For example, 17 and 103 are prime factors of 1747.
- 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 1747 are (1, 1747) and (17, 103).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1747 is 17 × 103.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 1747 is a multiple of 17.
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About BrightChamps in Bahrain
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.
