119 LearnersLast updated on May 26th, 2025
Factors of 3750
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 3750, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 3750?
The numbers that divide 3750 evenly are known as factors of 3750.
A factor of 3750 is a number that divides the number without remainder.
The factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 75, 125, 150, 250, 375, 750, 1250, 1875, and 3750.
Negative factors of 3750: -1, -2, -3, -5, -6, -10, -15, -25, -30, -37, -50, -75, -125, -150, -250, -375, -750, -1250, -1875, and -3750.
Prime factors of 3750: 2, 3, and 5.
Prime factorization of 3750: 2 × 3 × 54.
The sum of factors of 3750: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 25 + 30 + 37 + 50 + 75 + 125 + 150 + 250 + 375 + 750 + 1250 + 1875 + 3750 = 9479
How to Find Factors of 3750?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 3750. Identifying the numbers which are multiplied to get the number 3750 is the multiplication method.
Step 1: Multiply 3750 by 1, 3750 × 1 = 3750.
Step 2: Check for other numbers that give 3750 after multiplying
2 × 1875 = 3750
3 × 1250 = 3750
5 × 750 = 3750
6 × 625 = 3750
Therefore, the positive factor pairs of 3750 are: (1, 3750), (2, 1875), (3, 1250), (5, 750), (6, 625). All these factor pairs result in 3750. 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 in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 3750 by 1, 3750 ÷ 1 = 3750.
Step 2: Continue dividing 3750 by the numbers until the remainder becomes 0.
3750 ÷ 1 = 3750
3750 ÷ 2 = 1875
3750 ÷ 3 = 1250
3750 ÷ 5 = 750
3750 ÷ 6 = 625
Therefore, the factors of 3750 are: 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 75, 125, 150, 250, 375, 750, 1250, 1875, 3750.
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 3750 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3750 ÷ 2 = 1875
1875 ÷ 3 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 3750 are 2, 3, and 5.
The prime factorization of 3750 is: 2 × 3 × 5^4.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 3750 is divided by 2 to get 1875.
Step 2: Now divide 1875 by 3 to get 625.
Step 3: Then divide 625 by 5 to get 125.
Step 4: Divide 125 by 5 to get 25.
Step 5: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3750 is: 2 × 3 × 54.
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 3750: (1, 3750), (2, 1875), (3, 1250), (5, 750), and (6, 625).
Negative factor pairs of 3750: (-1, -3750), (-2, -1875), (-3, -1250), (-5, -750), and (-6, -625).
Common Mistakes and How to Avoid Them in Factors of 3750
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
Children 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 3750, 1 and 3750 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 3750 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 3750/1.5 = 2500, and it 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 3750 are prime numbers.
For example, 2, 3, and 5 are the prime factors of 3750, but it has other factors like 6, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 3750 as 2 × 3 × 5^4 and missing all the key factors.
Factors of 3750 Examples
Problem 1
There are 15 teams and 3750 points. How will they divide it equally?
They will get 250 points each.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
3750/15 = 250
Problem 2
A garden is rectangular, the length of the garden is 25 meters and the total area is 3750 square meters. Find the width?
150 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
3750 = 25 × width
To find the value of width, we need to shift 25 to the left side.
3750/25 = width
Width = 150.
Problem 3
There are 30 baskets and 3750 apples. How many apples will be in each basket?
Each basket will have 125 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
3750/30 = 125
Problem 4
In a conference, there are 3750 attendees, and 5 halls. How many attendees are there in each hall?
There are 750 attendees in each hall.
Explanation
Dividing the attendees with the total halls, we will get the number of attendees in each hall.
3750/5 = 750
Problem 5
3750 brochures need to be distributed in 25 locations. How many brochures will go to each location?
Each location will receive 150 brochures.
Explanation
Divide total brochures with locations.
3750/25 = 150
FAQs on Factors of 3750
1.What are the factors of 3750?
2.Mention the prime factors of 3750.
3.Is 3750 a multiple of 25?
4.Mention the factor pairs of 3750?
5.What is the square of 3750?
6.How can children in India use numbers in everyday life to understand Factors of 3750?
7.What are some fun ways kids in India can practice Factors of 3750 with numbers?
8.What role do numbers and Factors of 3750 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 3750 skills?
Important Glossaries for Factors of 3750
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 75, 125, 150, 250, 375, 750, 1250, 1875, and 3750.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 3750.
- 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 3750 are (1, 3750), (2, 1875), etc.
- Prime factorization: Breaking down a number into its prime number factors, as in the prime factorization of 3750: 2 × 3 × 54.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 3750 are -1, -2, -3, -5, etc.
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About BrightChamps in India
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.
