128 LearnersLast updated on May 26th, 2025
Factors of 5
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 5, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 5?
The numbers that divide 5 evenly are known as factors of 5. A factor of 5 is a number that divides the number without remainder. The factors of 5 are 1 and 5. Negative factors of 5: -1 and -5. Prime factor of 5: 5. Prime factorization of 5: 5. The sum of factors of 5: 1 + 5 = 6
How to Find Factors of 5?
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 5. Identifying the numbers which are multiplied to get the number 5 is the multiplication method. Step 1: Multiply 5 by 1, 5 × 1 = 5. Therefore, the positive factor pairs of 5 are: (1, 5). 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 5 by 1, 5 ÷ 1 = 5. Step 2: Continue dividing 5 by the numbers until the remainder becomes 0. 5 ÷ 1 = 5 5 ÷ 5 = 1 Therefore, the factors of 5 are: 1 and 5.
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 factor tree Using Prime Factorization: In this process, prime factors of 5 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1. 5 ÷ 5 = 1 The prime factor of 5 is 5. The prime factorization of 5 is: 5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 5 is a prime number, it cannot be broken down further. So, the prime factorization of 5 is: 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 5: (1, 5). Negative factor pairs of 5: (-1, -5).
Common Mistakes and How to Avoid Them in Factors of 5
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 5, 1 and 5 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 5 consist of -1 and -5.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor. For example, thinking 2.5 as a factor, because 5/2.5 = 2, 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 5 are prime numbers. While it's true that 5 itself is a prime factor, 1 is not a prime number but is still a factor.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not correctly identifying 5 as a prime number and missing it as the key factor.
Factors of 5 Examples
Problem 1
There are 5 friends and 5 apples. How will they divide it equally?
They will get 1 apple each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of friends. 5/5 = 1
Problem 2
A garden is square-shaped, and the length of one side is 5 meters. What is the area of the garden?
25 square meters.
Explanation
To find the area of the square garden, we use the formula, Area = side × side 5 × 5 = 25
Problem 3
There are 10 bags and 5 candies. How many candies will be in each bag if they are distributed equally?
Each bag will have 0.5 candies, which means it cannot be equally distributed.
Explanation
To find the candies in each bag, divide the total candies by the bags. 5/10 = 0.5
Problem 4
In a class, there are 5 students, and they form 1 group. How many students are in the group?
There are 5 students in the group.
Explanation
Since there is only one group, all students are in that group. 5/1 = 5
Problem 5
5 books need to be arranged on 5 shelves. How many books will go on each shelf?
Each shelf will have 1 book.
Explanation
Divide total books by shelves. 5/5 = 1
FAQs on Factors of 5
1.What are the factors of 5?
2.Mention the prime factor of 5.
3.Is 5 a multiple of 1?
4.Mention the factor pairs of 5?
5.What is the square of 5?
6.How can children in Qatar use numbers in everyday life to understand Factors of 5?
7.What are some fun ways kids in Qatar can practice Factors of 5 with numbers?
8.What role do numbers and Factors of 5 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 5 skills?
Important Glossaries for Factors of 5
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 5 are 1 and 5. Prime factor: A factor that is a prime number. For example, 5 is a prime factor of 5. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 5 is (1, 5). Multiple: A number that can be divided by another number without leaving a remainder. For example, 5 is a multiple of 1. Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 5 is a prime number.
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About BrightChamps in Qatar
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.
