Find Prime Factorization/Factors Of 7 - Cuemath

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

1. 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 = 1

   Hence, Miranda has 1 possible way to share her books such that each of her friends gets 1 book.

2. 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.

3. 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.

Show Solution >

go to slidego to slidego to slide

 

How can your child master math concepts? Maths mastery comes with practice and understanding the ‘Why’ behind the ‘What.’ Experience the Cuemath difference.

Book a Free Trial Class

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 co-prime. 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 co-prime.