100 LearnersLast updated on May 26th, 2025
Factors of 6.25
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 6.25, how they are used in real life, and tips to learn them quickly.
What are the Factors of 6.25?
The numbers that divide 6.25 evenly are known as factors of 6.25. A factor of 6.25 is a number that divides the number without remainder. The factors of 6.25 are 1, 2.5, and 6.25. Negative factors of 6.25: -1, -2.5, and -6.25. Prime factors of 6.25: 2.5 and 5. Prime factorization of 6.25: 2.5 × 2.5. The sum of factors of 6.25: 1 + 2.5 + 6.25 = 9.75
How to Find Factors of 6.25?
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 6.25. Identifying the numbers which are multiplied to get the number 6.25 is the multiplication method. Step 1: Multiply 6.25 by 1, 6.25 × 1 = 6.25. Step 2: Check for other numbers that give 6.25 after multiplying 2.5 × 2.5 = 6.25 Therefore, the positive factor pairs of 6.25 are: (1, 6.25), (2.5, 2.5). All these factor pairs result in 6.25. 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 6.25 by 1, 6.25 ÷ 1 = 6.25. Step 2: Continue dividing 6.25 by the numbers until the remainder becomes 0. 6.25 ÷ 1 = 6.25 6.25 ÷ 2.5 = 2.5 Therefore, the factors of 6.25 are: 1, 2.5, 6.25.
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 6.25 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1. 6.25 ÷ 2.5 = 2.5 2.5 ÷ 2.5 = 1 The prime factor of 6.25 is 2.5. The prime factorization of 6.25 is: 2.5 × 2.5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 6.25 is divided by 2.5 to get 2.5. Step 2: Divide 2.5 by 2.5 to get 1. Here, 2.5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 6.25 is: 2.5 × 2.5. 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 6.25: (1, 6.25), (2.5, 2.5). Negative factor pairs of 6.25: (-1, -6.25), (-2.5, -2.5).
Common Mistakes and How to Avoid Them in Factors of 6.25
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 6.25, 1 and 6.25 are also factors.
Factors of 6.25 Examples
Problem 1
There are 5 jars and 6.25 liters of liquid. How will they distribute it equally?
Each jar will have 1.25 liters.
Explanation
To distribute the liquid equally, we need to divide the total liquid by the number of jars. 6.25/5 = 1.25
Problem 2
A square garden has a side length of 2.5 meters. What is the area of the garden?
6.25 square meters.
Explanation
To find the area of the square garden, we use the formula, Area = side × side 6.25 = 2.5 × 2.5
Problem 3
There are 2.5 kilograms of fruit divided into 5 baskets. How much fruit is in each basket?
Each basket will have 0.5 kilograms.
Explanation
To find the fruit in each basket, divide the total fruit by the baskets. 2.5/5 = 0.5
Problem 4
In a class, there are 6.25 hours of study scheduled, divided into 5 sessions. How many hours are there in each session?
There are 1.25 hours in each session.
Explanation
Dividing the study hours by the total sessions, we will get the number of hours in each session. 6.25/5 = 1.25
Problem 5
6.25 kilograms of flour need to be divided into 5 bags. How much flour will go in each bag?
Each bag will have 1.25 kilograms.
Explanation
Divide total flour by the number of bags. 6.25/5 = 1.25
FAQs on Factors of 6.25
1.What are the factors of 6.25?
2.Mention the prime factors of 6.25.
3.Is 6.25 a multiple of 2.5?
4.Mention the factor pairs of 6.25?
5.What is the square of 2.5?
6.How can children in United States use numbers in everyday life to understand Factors of 6.25?
7.What are some fun ways kids in United States can practice Factors of 6.25 with numbers?
8.What role do numbers and Factors of 6.25 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 6.25 skills?
Important Glossaries for Factors of 6.25
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 6.25 are 1, 2.5, and 6.25. Prime factors: The factors which are prime numbers or decimals. For example, 2.5 is a prime factor of 6.25. 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 6.25 are (1, 6.25) and (2.5, 2.5). Prime factorization: The process of expressing a number as the product of its prime factors. For example, 6.25 = 2.5 × 2.5. Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number, as shown in finding factors of 6.25.
Explore More numbers
Previous to Factors of 6.25
About BrightChamps in United States
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.
