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

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?