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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1724, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1724 evenly are known as factors of 1724.
A factor of 1724 is a number that divides the number without remainder.
The factors of 1724 are 1, 2, 4, 431, 862, and 1724.
Negative factors of 1724: -1, -2, -4, -431, -862, and -1724.
Prime factors of 1724: 2 and 431.
Prime factorization of 1724: 2 × 2 × 431.
The sum of factors of 1724: 1 + 2 + 4 + 431 + 862 + 1724 = 3024
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 1724. Identifying the numbers which are multiplied to get the number 1724 is the multiplication method.
Step 1: Multiply 1724 by 1, 1724 × 1 = 1724.
Step 2: Check for other numbers that give 1724 after multiplying
2 × 862 = 1724
4 × 431 = 1724
Therefore, the positive factor pairs of 1724 are: (1, 1724), (2, 862), and (4, 431).
All these factor pairs result in 1724.
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 1724 by 1, 1724 ÷ 1 = 1724.
Step 2: Continue dividing 1724 by the numbers until the remainder becomes 0.
1724 ÷ 1 = 1724
1724 ÷ 2 = 862
1724 ÷ 4 = 431
Therefore, the factors of 1724 are: 1, 2, 4, 431, 862, and 1724.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1724 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1724 ÷ 2 = 862
862 ÷ 2 = 431
431 ÷ 431 = 1
The prime factors of 1724 are 2 and 431.
The prime factorization of 1724 is: 2 × 2 × 431.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1724 is divided by 2 to get 862.
Step 2: Now divide 862 by 2 to get 431. Step 3: 431 is a prime number, so it cannot be divided further. So, the prime factorization of 1724 is: 2 × 2 × 431.
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 1724: (1, 1724), (2, 862), and (4, 431).
Negative factor pairs of 1724: (-1, -1724), (-2, -862), and (-4, -431).
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 431 students and 1724 pencils. How will they distribute them equally?
They will get 4 pencils each.
To distribute the pencils equally, we need to divide the total pencils by the number of students.
1724/431 = 4
A rectangular billboard has a length of 862 meters and a total area of 1724 square meters. Find the width.
2 meters.
To find the width of the billboard, we use the formula,
Area = length × width
1724 = 862 × width
To find the value of width, we need to shift 862 to the left side.
1724/862 = width
Width = 2.
There are 4 containers and 1724 marbles. How many marbles will be in each container?
Each container will have 431 marbles.
To find the marbles in each container, divide the total marbles by the containers.
1724/4 = 431
In a class, there are 1724 students, and 431 groups. How many students are there in each group?
There are 4 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1724/431 = 4
1724 chairs need to be arranged in 2 rooms. How many chairs will go in each room?
Each of the rooms has 862 chairs.
Divide total chairs by rooms.
1724/2 = 862
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.