Factors of 7
Factors of 7 are the list of integers that we can split evenly into 7. There are 2 factors of 7 of which 7 itself is the biggest factor and its positive factors are 1 and 7. The Pair Factors of 7 are (1, 7) and its Prime Factors is 1, 7.
 Factors of 7: 1 and 7
 Negative Factors of 7: 1 and 7
 Prime Factors of 7: 7
 Prime Factorization of 7: 7
 Sum of Factors of 7: 8
1.  What Are the Factors of 7? 
2.  How to Calculate the Factors of 7? 
3.  Factors of 7 by Prime Factorization 
4.  Factors of 7 in Pairs 
5.  FAQs on Factors of 7 
6.  Thinking Out of the Box! 
What Are the Factors of 7?
Let us recall, "What is a factor?" A factor is a number that divides another number equally without leaving a remainder.
Factors of 7 are 1 and 7.
The number 7 has only two factors, and hence it is a prime number.
How to Calculate the Factors of 7?
Factors of 7 can be calculated by the division method and the prime factorization method.
To find factors of 7, we start dividing 7 with 1.
 7 /1 = 7
 7 × 1 = 7
As 7 is an odd number, all of its factors will also be odd.
7 is divisible by 7.
Hence, the factors of 7 are 1 and 7.
Explore factors using illustrations and interactive examples.
 Factors of 70  The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
 Factors of 77  The factors of 77 are 1, 7, 11, 77
 Factors of 270  The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
 Factors of 27  The factors of 27 are 1, 3, 9, 27
 Factors of 17  The factors of 17 are 1, 17
 Factors of 47  The factors of 47 are 1, 47
Factors of 7 by Prime Factorization
Prime factorization is a process of breaking down a composite number into its prime factors.
To get the prime factorization of 7, we divide it by its smallest prime factor, which is 7.
7/7 = 1
The process goes on till we get quotient 1.
It can also be represented in a factor tree.
Factors of 7 in Pairs
The pair of numbers which gives 7 when multiplied is called the pair factor of 7. Factors of 7 are 1 and 7.
Since there are only two factors, we have only one pair.
Factors of 7 in pair is (1, 7).
Negative integers can also be the factors of 7.
The negative pair factors of 7 are (1, 7).
Important Notes:
 A factor is a number that divides another number equally without leaving a remainder.
 Negative integers such as 1 and 7 can also be the factors of a number since their product gives a positive integer 7.
Think Tank:
 Is 7 an abundant number? Find out the reason for your answer.
 Mia has to prepare 7 glasses of orange juice with an equal quantity out of 21 oranges. How many oranges are needed for one glass of orange juice?
Factors of 7 Solved Examples

Example 1: Miranda read all her 7 comic books. She then plans to share books with her 7 friends. How many possible ways does Miranda have to share books equally, so that, each of her friends has an equal number of books?
Solution:
Miranda can share books in these possible ways.
7/7 = 1Hence, Miranda has 1 possible way to share her books such that each of her friends gets 1 book.

Example 2: Can you help Edwin to find all the positive pair factors of 7?
Solution:
The positive pair factors of 7 are, (1, 7), (7, 1).
Hence, there are 2 positive pair factors of 7.

Example 3: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 7 and 7.
Solution:
The factors of 7 are 1, 7, and factors of 7 are 1, 7.
Therefore, the Least Common Multiple of 7 and 7 is 7 and the Greatest Common Divisor (GCD) of 7 and 7 is 7.
FAQs on Factors of 7
What are the Factors of 7?
The factors of 7 are 1, 7 and its negative factors are 1, 7.
What is the Greatest Common Factor of 7 and 5?
The factors of 7 are 1, 7 and the factors of 5 are 1, 5. 7 and 5 have only one common factor which is 1. This implies that 7 and 5 are coprime.
Hence, the Greatest Common Factor (GCF) of 7 and 5 is 1.
What Numbers are the Prime Factors of 7?
The prime factor of 7 is 7.
What is the Sum of all the Factors of 7?
Since all factors of 7 are 1, 7 therefore, the sum of its factors is 1 + 7 = 8.
How Many Factors of 7 are also Factors of 4?
Since the factors of 7 are 1, 7, and factors of 4 are 1, 2, 4. Hence, 7 and 4 have only one common factor which is 1. Therefore, 7 and 4 are coprime.