129 LearnersLast updated on May 26th, 2025
Factors of 7
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 7, how they are used in real life, and tips to learn them quickly.
What are the Factors of 7?
The numbers that divide 7 evenly are known as factors of 7. A factor of 7 is a number that divides the number without remainder. The factors of 7 are 1 and 7. Negative factors of 7: -1 and -7. Prime factors of 7: 7. Prime factorization of 7: 7. The sum of factors of 7: 1 + 7 = 8
How to Find Factors of 7?
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 7. Identifying the numbers which are multiplied to get the number 7 is the multiplication method. Step 1: Multiply 7 by 1, 7 × 1 = 7. Step 2: Check for other numbers that give 7 after multiplying Since 7 is a prime number, the only multiplication is: 1 × 7 = 7 Therefore, the positive factor pairs of 7 are: (1, 7). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 7 by 1, 7 ÷ 1 = 7. Step 2: Continue dividing 7 by numbers until the remainder becomes 0. 7 ÷ 1 = 7 7 ÷ 7 = 1 Therefore, the factors of 7 are: 1 and 7.
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 7 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 7 ÷ 7 = 1 The prime factor of 7 is 7. The prime factorization of 7 is: 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Since 7 is a prime number, it cannot be broken down further. So, the prime factorization of 7 is: 7. 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 7: (1, 7). Negative factor pairs of 7: (-1, -7).
Common Mistakes and How to Avoid Them in Factors of 7
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 7, 1 and 7 are both factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors; always check whether you have mentioned negative factors. For example, the factors of 7 consist of -1 and -7.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 7/1.5 ≈ 4.67, 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 7 are prime numbers. For example, 7 is the prime factor of 7, but it also has other factors like 1.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not recognizing 7 as a prime factor and missing the key factor.
Factors of 7 Examples
Problem 1
There are 7 friends and 7 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. 7/7 = 1
Problem 2
A rectangular field has a width of 1 meter and a total area of 7 square meters. Find the length.
7 meters.
Explanation
To find the length of the field, we use the formula, Area = length × width 7 = length × 1 To find the value of length, we need to shift 1 to the left side. 7/1 = length Length = 7.
Problem 3
There are 7 boxes and 7 toys. How many toys will be in each box?
Each box will have 1 toy.
Explanation
To find the toys in each box, divide the total toys by the boxes. 7/7 = 1
Problem 4
In a class, there are 7 students, and they need to form groups. If each group must have 1 student, how many groups can they form?
They can form 7 groups.
Explanation
Dividing the students with the number of students per group, we will get the number of groups. 7/1 = 7
Problem 5
7 books need to be arranged on 1 shelf. How many books will go on the shelf?
All 7 books will go on the shelf.
Explanation
Divide total books by shelves. 7/1 = 7
FAQs on Factors of 7
1.What are the factors of 7?
2.Mention the prime factors of 7.
3.Is 7 a multiple of 1?
4.Mention the factor pairs of 7?
5.What is the square of 7?
6.How can children in Canada use numbers in everyday life to understand Factors of 7?
7.What are some fun ways kids in Canada can practice Factors of 7 with numbers?
8.What role do numbers and Factors of 7 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 7 skills?
Important Glossaries for Factor of 7
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 7 are 1 and 7. Prime factors: The factors which are prime numbers. For example, 7 is the prime factor of 7. 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 7 is (1, 7). Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 7 is a prime number. Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give a specific number. For example, using 1 × 7 to find factors of 7.
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About BrightChamps in Canada
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.
