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 1722, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1722 evenly are known as factors of 1722.
A factor of 1722 is a number that divides the number without remainder.
The factors of 1722 are 1, 2, 3, 6, 287, 574, 861, and 1722.
Negative factors of 1722: -1, -2, -3, -6, -287, -574, -861, and -1722.
Prime factors of 1722: 2, 3, and 287.
Prime factorization of 1722: 2 × 3 × 287.
The sum of factors of 1722: 1 + 2 + 3 + 6 + 287 + 574 + 861 + 1722 = 3456
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 1722. Identifying the numbers which are multiplied to get the number 1722 is the multiplication method.
Step 1: Multiply 1722 by 1, 1722 × 1 = 1722.
Step 2: Check for other numbers that give 1722 after multiplying
2 × 861 = 1722
3 × 574 = 1722
6 × 287 = 1722
Therefore, the positive factor pairs of 1722 are: (1, 1722), (2, 861), (3, 574), (6, 287).
All these factor pairs result in 1722. 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 simple division method
Step 1: Divide 1722 by 1, 1722 ÷ 1 = 1722.
Step 2: Continue dividing 1722 by the numbers until the remainder becomes 0.
1722 ÷ 1 = 1722
1722 ÷ 2 = 861
1722 ÷ 3 = 574
1722 ÷ 6 = 287
Therefore, the factors of 1722 are: 1, 2, 3, 6, 287, 574, 861, 1722.
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: In this process, prime factors of 1722 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1722 ÷ 2 = 861
861 ÷ 3 = 287
287 ÷ 287 = 1
The prime factors of 1722 are 2, 3, and 287.
The prime factorization of 1722 is: 2 × 3 × 287.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1722 is divided by 2 to get 861.
Step 2: Now divide 861 by 3 to get 287.
Step 3: Divide 287 by 287 to get 1. So, the prime factorization of 1722 is: 2 × 3 × 287.
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 1722: (1, 1722), (2, 861), (3, 574), and (6, 287).
Negative factor pairs of 1722: (-1, -1722), (-2, -861), (-3, -574), and (-6, -287).
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 tournament teams and 1722 points. How will they divide it equally?
They will get 574 points each.
To divide the points equally, we need to divide the total points with the number of teams.
1722/3 = 574
A rectangular field has a length of 2 meters and a total area of 1722 square meters. Find the width.
861 meters.
To find the width of the field, we use the formula,
Area = length × width
1722 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1722/2 = width
Width = 861.
There are 6 containers and 1722 liters of water. How many liters will be in each container?
Each container will have 287 liters.
To find the liters in each container, divide the total liters with the containers.
1722/6 = 287
In a class, there are 1722 students and 287 groups. How many students are there in each group?
There are 6 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1722/287 = 6
1722 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 574 books.
Divide total books with shelves.
1722/3 = 574
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.