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.
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.
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).
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.
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?
Miranda can share books in these possible ways.
7/7 = 1
Hence, 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?
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.
The factors of 7 are 1, 7, and factors of 7 are 1, 7.