134 LearnersLast updated on May 26th, 2025
Factors of 1737
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 1737, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1737?
The numbers that divide 1737 evenly are known as factors of 1737.
A factor of 1737 is a number that divides the number without a remainder.
The factors of 1737 are 1, 3, 13, 23, 39, 69, 299, 579, and 1737.
Negative factors of 1737: -1, -3, -13, -23, -39, -69, -299, -579, and -1737.
Prime factors of 1737: 3, 13, and 23.
Prime factorization of 1737: 3 × 13 × 23.
The sum of factors of 1737: 1 + 3 + 13 + 23 + 39 + 69 + 299 + 579 + 1737 = 2763
How to Find Factors of 1737?
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 1737. Identifying the numbers which are multiplied to get the number 1737 is the multiplication method.
Step 1: Multiply 1737 by 1, 1737 × 1 = 1737.
Step 2: Check for other numbers that give 1737 after multiplying:
3 × 579 = 1737
13 × 133 = 1737
23 × 75 = 1737
Therefore, the positive factor pairs of 1737 are: (1, 1737), (3, 579), (13, 133), (23, 75).
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 in whole numbers as factors. Factors can be calculated by following the simple division method:
Step 1: Divide 1737 by 1, 1737 ÷ 1 = 1737.
Step 2: Continue dividing 1737 by the numbers until the remainder becomes 0.
1737 ÷ 1 = 1737
1737 ÷ 3 = 579
1737 ÷ 13 = 133
1737 ÷ 23 = 75
Therefore, the factors of 1737 are: 1, 3, 13, 23, 39, 69, 299, 579, 1737.
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 1737 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1737 ÷ 3 = 579
579 ÷ 3 = 193
193 ÷ 13 = 23
23 ÷ 23 = 1
The prime factors of 1737 are 3, 13, and 23.
The prime factorization of 1737 is: 3 × 13 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1737 is divided by 3 to get 579.
Step 2: Now divide 579 by 3 to get 193.
Step 3: Then divide 193 by 13 to get 23. Here, 23 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1737 is: 3 × 13 × 23.
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 1737: (1, 1737), (3, 579), (13, 133), (23, 75).
Negative factor pairs of 1737: (-1, -1737), (-3, -579), (-13, -133), (-23, -75).
Common Mistakes and How to Avoid Them in Factors of 1737
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 1737, 1 and 1737 are also factors.
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 1737 consist of -1, -3, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1737/1.5 = 1158, 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 1737 are prime numbers.
For example, 3, 13, and 23 are the prime factors of 1737, but it has other factors like 39, 69.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1737 as 3 × 13 × 23 and missing all the key factors.
Factors of 1737 Examples
Problem 1
There are 3 teams and 1737 points. How will they divide the points equally?
Each team will get 579 points.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
1737/3 = 579
Problem 2
A rectangular garden has a length of 13 meters and a total area of 1737 square meters. Find the width.
133 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1737 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1737/13 = width
Width = 133.
Problem 3
There are 13 boxes and 1737 candies. How many candies will be in each box?
Each box will have 133 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
1737/13 = 133
Problem 4
In a competition, there are 1737 participants and 23 groups. How many participants are there in each group?
There are 75 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1737/23 = 75
Problem 5
1737 apples need to be packed into 23 crates. How many apples will go in each crate?
Each crate will have 75 apples.
Explanation
Divide total apples by the number of crates.
1737/23 = 75
FAQs on Factors of 1737
1.What are the factors of 1737?
2.Mention the prime factors of 1737.
3.Is 1737 a multiple of 3?
4.Mention the factor pairs of 1737.
5.What is the square of 1737?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1737?
7.What are some fun ways kids in Bahrain can practice Factors of 1737 with numbers?
8.What role do numbers and Factors of 1737 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1737 skills?
Important Glossaries for Factor of 1737
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1737 are 1, 3, 13, 23, etc.
- Prime factors: The factors which are prime numbers. For example, 3, 13, and 23 are prime factors of 1737.
- 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 1737 are (1, 1737), (3, 579), etc.
- Negative factors: Negative numbers that divide the number without remainder. For example, negative factors of 1737 include -1, -3, -13, etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1737 is 3 × 13 × 23.
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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.
