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 1743, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1743 evenly are known as factors of 1743.
A factor of 1743 is a number that divides the number without a remainder.
The factors of 1743 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 581, and 1743.
Negative factors of 1743: -1, -3, -7, -9, -21, -29, -63, -87, -203, -261, -581, and -1743.
Prime factors of 1743: 3, 7, and 29.
Prime factorization of 1743: 3 × 7 × 83.
The sum of factors of 1743: 1 + 3 + 7 + 9 + 21 + 29 + 63 + 87 + 203 + 261 + 581 + 1743 = 3008
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 1743. Identifying the numbers which are multiplied to get the number 1743 is the multiplication method.
Step 1: Multiply 1743 by 1, 1743 × 1 = 1743.
Step 2: Check for other numbers that give 1743 after multiplying
3 × 581 = 1743
7 × 249 = 1743
9 × 193 = 1743
21 × 83 = 1743
29 × 61 = 1743
Therefore, the positive factor pairs of 1743 are: (1, 1743), (3, 581), (7, 249), (9, 193), (21, 83), and (29, 61).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1743 by 1, 1743 ÷ 1 = 1743.
Step 2: Continue dividing 1743 by the numbers until the remainder becomes 0.
1743 ÷ 1 = 1743
1743 ÷ 3 = 581
1743 ÷ 7 = 249
1743 ÷ 9 = 193
1743 ÷ 21 = 83
Therefore, the factors of 1743 are: 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 581, 1743.
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1743 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1743 ÷ 3 = 581
581 ÷ 7 = 83
83 ÷ 29 = 1
The prime factors of 1743 are 3, 7, and 29.
The prime factorization of 1743 is: 3 × 7 × 29.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1743 is divided by 3 to get 581.
Step 2: Now divide 581 by 7 to get 83.
Step 3: Divide 83 by 29 to get 1.
So, the prime factorization of 1743 is: 3 × 7 × 29.
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 1743: (1, 1743), (3, 581), (7, 249), (9, 193), (21, 83), and (29, 61).
Negative factor pairs of 1743: (-1, -1743), (-3, -581), (-7, -249), (-9, -193), (-21, -83), and (-29, -61).
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 3 students and 1743 pages. How will they divide it equally?
They will get 581 pages each.
To divide the pages equally, we need to divide the total pages by the number of students.
1743/3 = 581
A rectangular garden has a length of 29 meters and a total area of 1743 square meters. Find the width?
The width is 61 meters.
To find the width of the garden, we use the formula,
Area = length × width
1743 = 29 × width
To find the value of width, we need to shift 29 to the left side.
1743/29 = width
Width = 61.
There are 7 boxes and 1743 chocolates. How many chocolates will be in each box?
Each box will have 249 chocolates.
To find the chocolates in each box, divide the total chocolates by the number of boxes.
1743/7 = 249
A class has 21 students, and they have 1743 crayons. How many crayons are there for each student?
Each student gets 83 crayons.
Dividing the crayons by the total number of students, we will get the number of crayons per student.
1743/21 = 83
1743 apples need to be arranged in 9 baskets. How many apples will go in each basket?
Each of the baskets has 193 apples.
Divide the total apples by the number of baskets.
1743/9 = 193
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.