100 LearnersLast updated on May 26th, 2025
Factors of 15625
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 15625, how they are used in real life, and tips to learn them quickly.
What are the Factors of 15625?
The numbers that divide 15625 evenly are known as factors of 15625.
A factor of 15625 is a number that divides the number without remainder.
The factors of 15625 are 1, 5, 25, 125, 625, 3125, and 15625.
Negative factors of 15625: -1, -5, -25, -125, -625, -3125, and -15625.
Prime factors of 15625: 5.
Prime factorization of 15625: \(5^6\).
The sum of factors of 15625: 1 + 5 + 25 + 125 + 625 + 3125 + 15625 = 19431
How to Find Factors of 15625?
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 15625. Identifying the numbers which are multiplied to get the number 15625 is the multiplication method.
Step 1: Multiply 15625 by 1, \(15625 \times 1 = 15625\).
Step 2: Check for other numbers that give 15625 after multiplying
\(5 \times 3125 = 15625\)
\(25 \times 625 = 15625\)
\(125 \times 125 = 15625\)
Therefore, the positive factor pairs of 15625 are: (1, 15625), (5, 3125), (25, 625), (125, 125).
All these factor pairs result in 15625.
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 the simple division method -
Step 1: Divide 15625 by 1, \(15625 \div 1 = 15625\).
Step 2: Continue dividing 15625 by the numbers until the remainder becomes 0.
\(15625 \div 1 = 15625\)
\(15625 \div 5 = 3125\)
\(15625 \div 25 = 625\)
\(15625 \div 125 = 125\)
Therefore, the factors of 15625 are: 1, 5, 25, 125, 625, 3125, 15625.
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 15625 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
\(15625 \div 5 = 3125\)
\(3125 \div 5 = 625\)
\(625 \div 5 = 125\)
\(125 \div 5 = 25\)
\(25 \div 5 = 5\)
\(5 \div 5 = 1\)
The prime factor of 15625 is 5.
The prime factorization of 15625 is: \(5^6\).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 15625 is divided by 5 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 15625 is: \(5^6\).
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 15625: (1, 15625), (5, 3125), (25, 625), (125, 125).
Negative factor pairs of 15625: (-1, -15625), (-5, -3125), (-25, -625), (-125, -125).
Common Mistakes and How to Avoid Them in Factors of 15625
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 15625, 1 and 15625 are also factors.
Factors of 15625 Examples
Problem 1
There are 3125 apples and 5 baskets. How will they divide it equally?
They will get 625 apples in each basket.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
\(3125 \div 5 = 625\)
Problem 2
A rectangular garden has an area of 15625 square meters and a length of 125 meters. What is the width?
125 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
\(15625 = 125 \times \text{width}\)
To find the value of width, we need to shift 125 to the left side.
\(15625 \div 125 = \text{width}\)
Width = 125.
Problem 3
There are 625 chairs and 25 rows. How many chairs will be in each row?
Each row will have 25 chairs.
Explanation
To find the chairs in each row, divide the total chairs by the number of rows.
\(625 \div 25 = 25\)
Problem 4
In a school, there are 15625 students, and 125 classes. How many students are in each class?
There are 125 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
\(15625 \div 125 = 125\)
Problem 5
15625 books need to be arranged in 3125 stacks. How many books will go in each stack?
Each stack has 5 books.
Explanation
Divide total books by the stacks.
\(15625 \div 3125 = 5\)
FAQs on Factors of 15625
1.What are the factors of 15625?
2.Mention the prime factors of 15625.
3.Is 15625 a multiple of 25?
4.Mention the factor pairs of 15625?
5.What is the square root of 15625?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 15625?
7.What are some fun ways kids in Bahrain can practice Factors of 15625 with numbers?
8.What role do numbers and Factors of 15625 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 15625 skills?
Important Glossaries for Factor of 15625
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 15625 are 1, 5, 25, 125, 625, 3125, and 15625.
- Prime factors: The factors which are prime numbers. For example, 5 is a prime factor of 15625.
- 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 15625 are (1, 15625), (5, 3125), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 15625 is \(5^6\).
- Multiples: Products obtained by multiplying a number with integers. For example, 15625 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.
