127 LearnersLast updated on May 26th, 2025
Factors of 1750
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.
What are the Factors of 1750?
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
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How to Find Factors of 1750?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1750
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1750, 1 and 1750 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1750 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
People might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 1750/1.5 ≈ 1166.67, which is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1750 are prime numbers.
For example, 2, 5, and 7 are the prime factors of 1750, but it has other factors like 10, 25.
Mistake 5
Mistake in Factorization
People might skip steps in factorization and end up writing the wrong factors.
For example, not breaking 1750 as 2 × 53 × 7 and missing all the key factors.
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Factors of 1750 Examples
Problem 1
There are 7 groups and 1750 apples. How will they distribute the apples equally among the groups?
Each group will receive 250 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of groups.
1750 ÷ 7 = 250
Problem 2
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.
Explanation
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
Problem 3
There are 10 crates and 1750 oranges. How many oranges will be in each crate?
Each crate will have 175 oranges.
Explanation
To find the number of oranges in each crate, divide the total oranges by the number of crates.
1750 ÷ 10 = 175
Problem 4
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.
Explanation
Dividing the students by the total number of houses gives the number of students in each house.
1750 ÷ 5 = 350
Problem 5
1750 pencils need to be sorted into 50 boxes. How many pencils will go in each box?
Each box will have 35 pencils.
Explanation
Divide the total number of pencils by the number of boxes.
1750 ÷ 50 = 35
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FAQs on Factors of 1750
1.What are the factors of 1750?
2.Mention the prime factors of 1750.
3.Is 1750 a multiple of 25?
4.Mention the factor pairs of 1750.
5.What is the square of 1750?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1750?
7.What are some fun ways kids in Bahrain can practice Factors of 1750 with numbers?
8.What role do numbers and Factors of 1750 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1750 skills?
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Important Glossaries for Factors of 1750
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1750 are 1, 2, 5, 7, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 1750.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1750 are (1, 1750), (2, 875), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1750 is 2 × 53 × 7.
- Multiples: The result of multiplying a number by an integer. For example, 1750 is a multiple of 25.
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About BrightChamps in Bahrain
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
