114 LearnersLast updated on May 26th, 2025
Factors of 75000
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 75000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 75000?
The numbers that divide 75000 evenly are known as factors of 75000.
A factor of 75000 is a number that divides the number without remainder.
The factors of 75000 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 7500, 9375, 10000, 12500, 15000, 18750, 25000, 37500, and 75000.
Negative factors of 75000: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -40, -48, -50, -60, -75, -80, -100, -120, -125, -150, -200, -240, -250, -300, -375, -400, -500, -600, -750, -1000, -1500, -1875, -2000, -2500, -3000, -3750, -5000, -7500, -9375, -10000, -12500, -15000, -18750, -25000, -37500, and -75000.
Prime factors of 75000: 2, 3, and 5.
Prime factorization of 75000: 23 × 3 × 54
. The sum of factors of 75000: 234225
How to Find Factors of 75000?
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 75000. Identifying the numbers which are multiplied to get the number 75000 is the multiplication method.
Step 1: Multiply 75000 by 1, 75000 × 1 = 75000.
Step 2: Check for other numbers that give 75000 after multiplying
2 × 37500 = 75000
3 × 25000 = 75000
4 × 18750 = 75000
5 × 15000 = 75000
Therefore, the positive factor pairs of 75000 include: (1, 75000), (2, 37500), (3, 25000), (4, 18750), (5, 15000), and so on. 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 a whole number as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 75000 by 1, 75000 ÷ 1 = 75000.
Step 2: Continue dividing 75000 by the numbers until the remainder becomes 0.
75000 ÷ 1 = 75000
75000 ÷ 2 = 37500
75000 ÷ 3 = 25000
75000 ÷ 4 = 18750
75000 ÷ 5 = 15000
Therefore, the factors of 75000 include: 1, 2, 3, 4, 5, and many others.
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 75000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
75000 ÷ 2 = 37500
37500 ÷ 2 = 18750
18750 ÷ 2 = 9375
9375 ÷ 3 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 75000 are 2, 3, and 5.
The prime factorization of 75000 is: 23 × 3 × 54.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 75000 is divided by 2 to get 37500.
Step 2: Now divide 37500 by 2 to get 18750.
Step 3: Then divide 18750 by 2 to get 9375.
Step 4: Divide 9375 by 3 to get 3125.
Step 5: Divide 3125 by 5 to get 625.
Step 6: Divide 625 by 5 to get 125.
Step 7: Divide 125 by 5 to get 25.
Step 8: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 75000 is: 23 × 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 75000 include: (1, 75000), (2, 37500), (3, 25000), (4, 18750), (5, 15000), etc.
Negative factor pairs of 75000 include: (-1, -75000), (-2, -37500), (-3, -25000), (-4, -18750), (-5, -15000), etc.
Common Mistakes and How to Avoid Them in Factors of 75000
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 75000, 1 and 75000 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 75000 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 75000/1.5 = 50000, 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 75000 are prime numbers.
For example, 2, 3, and 5 are the prime factors of 75000, but it has other factors like 4, 12.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 75000 as 23 × 3 × 54 and missing all the key factors.
Factors of 75000 Examples
Problem 1
There are 750 students in a school and 75000 pencils. How will they divide the pencils equally?
They will get 100 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
75000/750 = 100
Problem 2
A piece of fabric is rectangular, the length of the fabric is 150 meters and the total area is 75000 square meters. Find the width?
500 meters.
Explanation
To find the width of the fabric, we use the formula,
Area = length × width
75000 = 150 × width
To find the value of width, we need to shift 150 to the left side.
75000/150 = width
Width = 500.
Problem 3
There are 3750 candies and 750 bags. How many candies will be in each bag?
Each bag will have 5 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
3750/750 = 5
Problem 4
In a theater, there are 15000 seats, and 5 sections. How many seats are there in each section?
There are 3000 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
15000/5 = 3000
Problem 5
75000 books need to be arranged in 2500 shelves. How many books will go on each shelf?
Each of the shelves has 30 books.
Explanation
Divide total books by shelves.
75000/2500 = 30
FAQs on Factors of 75000
1.What are the factors of 75000?
2.Mention the prime factors of 75000.
3.Is 75000 a multiple of 4?
4.Mention the factor pairs of 75000?
5.What is the cube of 75000?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 75000?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 75000 with numbers?
8.What role do numbers and Factors of 75000 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 75000 skills?
Important Glossaries for Factors of 75000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 75000 include 1, 2, 3, 4, 5, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 75000.
- 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 75000 include (1, 75000), (2, 37500), etc.
- Negative factors: Factors that are negative. For example, the negative factors of 75000 include -1, -2, -3, etc.
- Prime factorization: The representation of a number as a product of its prime factors. For example, the prime factorization of 75000 is 23 × 3 × 54.
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About BrightChamps in Saudi Arabia
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.
