101 LearnersLast updated on May 26th, 2025
Factors of 12.25
Factors are the numbers that divide any given number evenly without a 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 12.25, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 12.25?
The numbers that divide 12.25 evenly are known as factors of 12.25. A factor of 12.25 is a number that divides the number without remainder. The factors of 12.25 are 1, 3.5, and 12.25. Negative factors of 12.25: -1, -3.5, and -12.25. Prime factors of 12.25: 3.5. Prime factorization of 12.25: 3.5 × 3.5. The sum of factors of 12.25: 1 + 3.5 + 12.25 = 16.75
How to Find Factors of 12.25?
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 12.25. Identifying the numbers which are multiplied to get the number 12.25 is the multiplication method. Step 1: Multiply 12.25 by 1, 12.25 × 1 = 12.25. Step 2: Check for other numbers that give 12.25 after multiplying 3.5 × 3.5 = 12.25 Therefore, the positive factor pairs of 12.25 are: (1, 12.25) and (3.5, 3.5). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following the simple division method - Step 1: Divide 12.25 by 1, 12.25 ÷ 1 = 12.25. Step 2: Continue dividing 12.25 by the numbers until the remainder becomes 0. 12.25 ÷ 1 = 12.25 12.25 ÷ 3.5 = 3.5 Therefore, the factors of 12.25 are: 1, 3.5, and 12.25.
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 12.25 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 12.25 ÷ 3.5 = 3.5 3.5 ÷ 3.5 = 1 The prime factor of 12.25 is 3.5. The prime factorization of 12.25 is: 3.5 × 3.5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 12.25 is divided by 3.5 to get 3.5. Step 2: 3.5 is divided by 3.5 to get 1. Here, 3.5 is a prime number that cannot be divided anymore. So, the prime factorization of 12.25 is: 3.5 × 3.5. 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 12.25: (1, 12.25) and (3.5, 3.5). Negative factor pairs of 12.25: (-1, -12.25) and (-3.5, -3.5).
Common Mistakes and How to Avoid Them in Factors of 12.25
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 12.25, 1 and 12.25 are also factors.
Factors of 12.25 Examples
Problem 1
There are 7.75 liters of juice. How can it be divided equally into 3.5-liter bottles?
You will have 2 full bottles.
Explanation
To divide the juice equally, we need to divide the total juice by the capacity of each bottle. 7.75/3.5 = 2.214, so you can fill 2 full bottles.
Problem 2
A garden is square-shaped with an area of 12.25 square meters. What is the length of one side?
3.5 meters.
Explanation
To find the side length of the square garden, we use the formula, Area = side × side 12.25 = side × side Taking the square root, side = √12.25 = 3.5 meters.
Problem 3
There are 12.25 kilograms of flour. How many 3.5 kg bags can be filled?
3 bags.
Explanation
To find the number of bags, divide the total flour by the weight of each bag. 12.25/3.5 = 3.5, so you can fill 3 full bags.
Problem 4
In a project, there are 12.25 hours of work, and three tasks. How many hours is each task expected to take if divided equally?
4.0833 hours per task.
Explanation
Dividing the total hours by the number of tasks, we will get the number of hours for each task. 12.25/3 = 4.0833 hours.
Problem 5
12.25 meters of ribbon need to be cut into pieces of 3.5 meters each. How many pieces can be cut?
3 pieces.
Explanation
Divide the total length of ribbon by the length of each piece. 12.25/3.5 = 3.5, so you can cut 3 full pieces.
FAQs on Factors of 12.25
1.What are the factors of 12.25?
2.Mention the prime factors of 12.25.
3.Is 12.25 a multiple of 3.5?
4.Mention the factor pairs of 12.25.
5.What is the square of 3.5?
6.How can children in United States use numbers in everyday life to understand Factors of 12.25?
7.What are some fun ways kids in United States can practice Factors of 12.25 with numbers?
8.What role do numbers and Factors of 12.25 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 12.25 skills?
Important Glossaries for Factors of 12.25
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 12.25 are 1, 3.5, and 12.25. Prime factors: The factors which are prime numbers. For example, 3.5 is a prime factor of 12.25. 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 12.25 are (1, 12.25) and (3.5, 3.5). Multiplication method: A method of finding factors by identifying number pairs that multiply to give the original number. Division method: A method of finding factors by dividing the number by integers to find those that result in a whole number quotient.
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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.
