Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 1752, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1752 evenly are known as factors of 1752.
A factor of 1752 is a number that divides the number without a remainder.
The factors of 1752 are 1, 2, 3, 4, 6, 12, 146, 219, 292, 438, 584, 876, and 1752.
Negative factors of 1752: -1, -2, -3, -4, -6, -12, -146, -219, -292, -438, -584, -876, and -1752.
Prime factors of 1752: 2 and 3.
Prime factorization of 1752: 23 × 3 × 73.
The sum of factors of 1752: 1 + 2 + 3 + 4 + 6 + 12 + 146 + 219 + 292 + 438 + 584 + 876 + 1752 = 4335
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 1752. Identifying the numbers which are multiplied to get the number 1752 is the multiplication method.
Step 1: Multiply 1752 by 1, 1752 × 1 = 1752.
Step 2: Check for other numbers that give 1752 after multiplying
2 × 876 = 1752
3 × 584 = 1752
4 × 438 = 1752
6 × 292 = 1752
12 × 146 = 1752
Therefore, the positive factor pairs of 1752 are: (1, 1752), (2, 876), (3, 584), (4, 438), (6, 292), (12, 146).
All these factor pairs result in 1752.
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 1752 by 1, 1752 ÷ 1 = 1752.
Step 2: Continue dividing 1752 by the numbers until the remainder becomes 0.
1752 ÷ 1 = 1752
1752 ÷ 2 = 876
1752 ÷ 3 = 584
1752 ÷ 4 = 438
1752 ÷ 6 = 292
1752 ÷ 12 = 146
Therefore, the factors of 1752 are: 1, 2, 3, 4, 6, 12, 146, 219, 292, 438, 584, 876, 1752.
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 1752 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1752 ÷ 2 = 876
876 ÷ 2 = 438
438 ÷ 2 = 219
219 ÷ 3 = 73
73 ÷ 73 = 1
The prime factors of 1752 are 2, 3, and 73.
The prime factorization of 1752 is: 23 × 3 × 73.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1752 is divided by 2 to get 876.
Step 2: Now divide 876 by 2 to get 438.
Step 3: Then divide 438 by 2 to get 219.
Step 4: Divide 219 by 3 to get 73. Here, 73 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1752 is: 23 × 3 × 73.
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 1752: (1, 1752), (2, 876), (3, 584), (4, 438), (6, 292), (12, 146).
Negative factor pairs of 1752: (-1, -1752), (-2, -876), (-3, -584), (-4, -438), (-6, -292), (-12, -146).
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 12 friends and 1752 candies. How will they divide it equally?
They will get 146 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
1752/12 = 146
A garden is rectangular, the length of the garden is 146 meters and the total area is 1752 square meters. Find the width?
12 meters.
To find the width of the garden, we use the formula,
Area = length × width
1752 = 146 × width
To find the width, we need to shift 146 to the left side.
1752/146 = width
Width = 12.
There are 6 boxes and 1752 oranges. How many oranges will be in each box?
Each box will have 292 oranges.
To find the oranges in each box, divide the total oranges by the boxes.
1752/6 = 292
In a class, there are 438 students, and 2 groups. How many students are there in each group?
There are 219 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
438/2 = 219
1752 books need to be arranged in 12 shelves. How many books will go on each shelf?
Each of the shelves has 146 books.
Divide total books by shelves.
1752/12 = 146
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.