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 1750, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1750 evenly are known as factors of 1750.
A factor of 1750 is a number that divides the number without remainder.
The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, and 1750.
Negative factors of 1750: -1, -2, -5, -7, -10, -14, -25, -35, -50, -70, -125, -175, -250, -350, -875, and -1750.
Prime factors of 1750: 2, 5, and 7.
Prime factorization of 1750: 2 × 53 × 7.
The sum of factors of 1750: 1 + 2 + 5 + 7 + 10 + 14 + 25 + 35 + 50 + 70 + 125 + 175 + 250 + 350 + 875 + 1750 = 3744
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 1750. Identifying the numbers which are multiplied to get the number 1750 is the multiplication method.
Step 1: Multiply 1750 by 1, 1750 × 1 = 1750.
Step 2: Check for other numbers that give 1750 after multiplying
2 × 875 = 1750
5 × 350 = 1750
7 × 250 = 1750
10 × 175 = 1750
14 × 125 = 1750
25 × 70 = 1750
35 × 50 = 1750
Therefore, the positive factor pairs of 1750 are: (1, 1750), (2, 875), (5, 350), (7, 250), (10, 175), (14, 125), (25, 70), (35, 50).
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 1750 by 1, 1750 ÷ 1 = 1750.
Step 2: Continue dividing 1750 by the numbers until the remainder becomes 0.
1750 ÷ 1 = 1750
1750 ÷ 2 = 875
1750 ÷ 5 = 350
1750 ÷ 7 = 250
1750 ÷ 10 = 175
1750 ÷ 14 = 125
1750 ÷ 25 = 70
1750 ÷ 35 = 50
Therefore, the factors of 1750 are: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, and 1750.
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 1750 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1750 ÷ 2 = 875
875 ÷ 5 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of 1750 are 2, 5, and 7.
The prime factorization of 1750 is: 2 × 53 × 7.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1750 is divided by 2 to get 875.
Step 2: Now divide 875 by 5 to get 175.
Step 3: Divide 175 by 5 to get 35.
Step 4: Divide 35 by 5 to get 7. Here, 7 is a prime number that cannot be divided anymore.
So, the prime factorization of 1750 is: 2 × 53 × 7.
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 1750: (1, 1750), (2, 875), (5, 350), (7, 250), (10, 175), (14, 125), (25, 70), and (35, 50).
Negative factor pairs of 1750: (-1, -1750), (-2, -875), (-5, -350), (-7, -250), (-10, -175), (-14, -125), (-25, -70), and (-35, -50).
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 7 groups and 1750 apples. How will they distribute the apples equally among the groups?
Each group will receive 250 apples.
To divide the apples equally, we need to divide the total apples by the number of groups.
1750 ÷ 7 = 250
A rectangular garden has a length of 25 meters and a total area of 1750 square meters. Find the width.
The width is 70 meters.
To find the width of the garden, we use the formula:
Area = length × width
1750 = 25 × width
To find the value of the width, divide 1750 by 25.
1750 ÷ 25 = 70
There are 10 crates and 1750 oranges. How many oranges will be in each crate?
Each crate will have 175 oranges.
To find the number of oranges in each crate, divide the total oranges by the number of crates.
1750 ÷ 10 = 175
In a school, there are 1750 students and 5 houses. How many students are there in each house?
There are 350 students in each house.
Dividing the students by the total number of houses gives the number of students in each house.
1750 ÷ 5 = 350
1750 pencils need to be sorted into 50 boxes. How many pencils will go in each box?
Each box will have 35 pencils.
Divide the total number of pencils by the number of boxes.
1750 ÷ 50 = 35
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.