100 LearnersLast updated on May 26th, 2025
Factors of 9375
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 9375, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 9375?
The numbers that divide 9375 evenly are known as factors of 9375.
A factor of 9375 is a number that divides the number without remainder.
The factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, and 9375.
Negative factors of 9375: -1, -3, -5, -15, -25, -75, -125, -375, -625, -1875, -3125, and -9375.
Prime factors of 9375: 3 and 5.
Prime factorization of 9375: 3 × 54.
The sum of factors of 9375: 1 + 3 + 5 + 15 + 25 + 75 + 125 + 375 + 625 + 1875 + 3125 + 9375 = 14629
How to Find Factors of 9375?
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 9375. Identifying the numbers which are multiplied to get the number 9375 is the multiplication method.
Step 1: Multiply 9375 by 1, 9375 × 1 = 9375.
Step 2: Check for other numbers that give 9375 after multiplying
3 × 3125 = 9375
5 × 1875 = 9375
15 × 625 = 9375
25 × 375 = 9375
75 × 125 = 9375
Therefore, the positive factor pairs of 9375 are: (1, 9375), (3, 3125), (5, 1875), (15, 625), (25, 375), (75, 125). All these factor pairs result in 9375.
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 9375 by 1, 9375 ÷ 1 = 9375.
Step 2: Continue dividing 9375 by the numbers until the remainder becomes 0.
9375 ÷ 1 = 9375
9375 ÷ 3 = 3125
9375 ÷ 5 = 1875
9375 ÷ 15 = 625
9375 ÷ 25 = 375
9375 ÷ 75 = 125
Therefore, the factors of 9375 are: 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 9375 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
9375 ÷ 3 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 9375 are 3 and 5.
The prime factorization of 9375 is: 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, 9375 is divided by 3 to get 3125.
Step 2: Now divide 3125 by 5 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 9375 is: 3 × 5^4.
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 9375: (1, 9375), (3, 3125), (5, 1875), (15, 625), (25, 375), and (75, 125).
Negative factor pairs of 9375: (-1, -9375), (-3, -3125), (-5, -1875), (-15, -625), (-25, -375), and (-75, -125).
Common Mistakes and How to Avoid Them in Factors of 9375
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 9375, 1 and 9375 are also factors.
Factors of 9375 Examples
Problem 1
There are 15 participants in a contest and 9375 points to be distributed. How many points will each participant get equally?
They will get 625 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of participants.
9375 ÷ 15 = 625
Problem 2
A garden is rectangular, the length of the garden is 25 meters and the total area is 9375 square meters. Find the width?
375 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
9375 = 25 × width
To find the value of width, we need to shift 25 to the left side.
9375 ÷ 25 = width
Width = 375.
Problem 3
There are 125 chairs and 9375 guests. How many guests will be seated in each chair?
Each chair will have 75 guests.
Explanation
To find the guests per chair, divide the total guests by the chairs.
9375 ÷ 125 = 75
Problem 4
In a tournament, there are 9375 players, and 375 teams. How many players are there in each team?
There are 25 players in each team.
Explanation
Dividing the players with the total teams, we will get the number of players in each team.
9375 ÷ 375 = 25
Problem 5
9375 apples need to be placed in 3125 baskets. How many apples will go in each basket?
Each of the baskets has 3 apples.
Explanation
Divide total apples by baskets.
9375 ÷ 3125 = 3
FAQs on Factors of 9375
1.What are the factors of 9375?
2.Mention the prime factors of 9375.
3.Is 9375 a multiple of 5?
4.Mention the factor pairs of 9375?
5.What is the square of 9375?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 9375?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 9375 with numbers?
8.What role do numbers and Factors of 9375 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 9375 skills?
Important Glossaries for Factor of 9375
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, and 9375.
- Prime factors: The factors which are prime numbers. For example, 3 and 5 are prime factors of 9375.
- 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 9375 are (1, 9375), (3, 3125), etc.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 9375 is 3 × 54.
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About BrightChamps in United Arab Emirates
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.
