# Factors of 7

Definition of factors of 7: If a number completely divides 7 with the remainder zero, then that number is called a factor of 7.

By the above definition, we can say that the factors of 7 are the divisors of 7. In this section, we will learn about the factors of 7 and the prime factors of 7.

Also Read: Basic concepts of factors

#### Highlights of Factors of 7

• 7=1×7 is the prime factorization of 7.
• The factors of 7 are 1 and 7.
• The only prime factor of 7 is 7.
• Negative factors of 7 are –1 and –7.

#### What are the factors of 7?

To get the factors of 7 we need to first write the number 7 multiplicatively in all possible ways.

7 = 1×7

This is the only way we can express 7 multiplicatively. Therefore the factors of 7 in pairs are given as follows:

 7 = a×b Factors in Pairs (a,b) 7 = 1×7 (1, 7)

Thus the only pair factor of 7 is (1, 7). We know that all the numbers appearing in pair factors are the factors of 7. So we conclude that

 The factors of 7 are: 1 and 7.

#### Number of factors of 7

From above we have calculated the factors of which are 1 and 7. Thus the total number of factors of 7 is two.

#### Prime Factors of 7

Note that the factors of 7 are 1 and 7. Among those factors, we observe that only 7 is a prime number as it does not have any proper divisors.

∴ the only prime factor of 7 is the number 7 itself.

Question: What are the factors of 7?

Video Solution: coming soon…

#### Is 7 a Prime Number?

As the factors of 7 are 1 and the number itself, by the definition of prime numbers, we can say that 7 is a prime number.

Conclusion: 7 is a prime number.

#### How to find factors of 7?

Now we will determine the factors of 7 by division method. In this method, we will find the numbers that can divide 7 with no remainder. We have:

 7/1=7 and the remainder is 0. ∴ 1 and 7 are factors of 7.

Note that no numbers other than the numbers in violet color can divide 7. So the numbers in violet color, that is, 1 and 7 are the complete list of factors of 7.