100 LearnersLast updated on May 26th, 2025
Factors of 1749
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1749, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1749?
The numbers that divide 1749 evenly are known as factors of 1749.
A factor of 1749 is a number that divides the number without remainder.
The factors of 1749 are 1, 3, 583, and 1749.
Negative factors of 1749: -1, -3, -583, and -1749.
Prime factors of 1749: 3 and 583.
Prime factorization of 1749: 3 × 583.
The sum of factors of 1749: 1 + 3 + 583 + 1749 = 2336
How to Find Factors of 1749?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1749. Identifying the numbers which are multiplied to get the number 1749 is the multiplication method.
Step 1: Multiply 1749 by 1, 1749 × 1 = 1749.
Step 2: Check for other numbers that give 1749 after multiplying 3 × 583 = 1749
Therefore, the positive factor pairs of 1749 are: (1, 1749), (3, 583).
All these factor pairs result in 1749.
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 results as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1749 by 1, 1749 ÷ 1 = 1749.
Step 2: Continue dividing 1749 by the numbers until the remainder becomes 0.
1749 ÷ 1 = 1749
1749 ÷ 3 = 583
Therefore, the factors of 1749 are: 1, 3, 583, and 1749.
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 1749 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1749 ÷ 3 = 583
583 ÷ 583 = 1
The prime factors of 1749 are 3 and 583.
The prime factorization of 1749 is: 3 × 583.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1749 is divided by 3 to get 583.
Step 2: Now divide 583 by 583 to get 1. Here, 583 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1749 is: 3 × 583.
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 1749: (1, 1749), (3, 583).
Negative factor pairs of 1749: (-1, -1749), (-3, -583).
Common Mistakes and How to Avoid Them in Factors of 1749
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1749, 1 and 1749 are also factors.
Factors of 1749 Examples
Problem 1
There are 3 friends and 1749 candies. How will they divide it equally?
They will get 583 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1749/3 = 583
Problem 2
A bookshelf is rectangular, the height of the bookshelf is 3 meters and the total area is 1749 square meters. Find the width?
583 meters.
Explanation
To find the width of the bookshelf, we use the formula,
Area = height × width
1749 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1749/3 = width
Width = 583.
Problem 3
There are 1749 marbles and 583 boxes. How many marbles will be in each box?
Each box will have 3 marbles.
Explanation
To find the marbles in each box, divide the total marbles with the boxes.
1749/583 = 3
Problem 4
In a school, there are 1749 students, and 3 buses. How many students are there in each bus?
There are 583 students in each bus.
Explanation
Dividing the students with the total buses, we will get the number of students in each bus.
1749/3 = 583
Problem 5
1749 books need to be arranged in 3 sections. How many books will go in each section?
Each of the sections has 583 books.
Explanation
Divide total books with sections.
1749/3 = 583
FAQs on Factors of 1749
1.What are the factors of 1749?
2.Mention the prime factors of 1749.
3.Is 1749 a multiple of 3?
4.Mention the factor pairs of 1749?
5.What is the square of 1749?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1749?
7.What are some fun ways kids in Bahrain can practice Factors of 1749 with numbers?
8.What role do numbers and Factors of 1749 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1749 skills?
Important Glossaries for Factor of 1749
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1749 are 1, 3, 583, and 1749.
- Prime factors: The factors which are prime numbers. For example, 3 and 583 are prime factors of 1749.
- 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 1749 are (1, 1749) and (3, 583).
- Multiple: A multiple is the product of a number and an integer. For example, 1749 is a multiple of 3.
- Prime factorization: Expressing a number as the product of its prime factors. For example, 1749 can be expressed as 3 × 583.
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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.
