# Factors of 7

Factors of 7 are 1 and 7

#### How to find factors of a number

 1.   Find factors of 7 using Division Method 2.   Find factors of 7 using Prime Factorization 3.   Find factors of 7 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 7

• Divide 7 by 1: 7 ÷ 1 : Remainder = 0
• Divide 7 by 7: 7 ÷ 7 : Remainder = 0

Hence, Factors of 7 are 1 and 7

#### 2. Steps to find factors of 7 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 7 using the division method, follow these steps:

• Step 1. Start dividing 7 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 7, which is 7. Divide 7 by 7 to obtain the quotient (1).
7 ÷ 7 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 7 is, 7 = 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 7 as shown below:

So, the prime factorization of 7 is, 7 = 7.

#### 3. Find factors of 7 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 7 would be the two numbers which, when multiplied, give 7 as the result.

The following table represents the calculation of factors of 7 in pairs:

Factor Pair Pair Factorization
1 and 7 1 x 7 = 7

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 7. They are called negative pair factors.

Hence, the negative pairs of 7 would be ( -1 , -7 ) , .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 7 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 7 are exact divisors of 7.
• Factors of 7 are 1, 7. Each factor divides 7 without leaving a remainder.

• Which is the smallest prime factor of 7?

The smallest prime factor of 7 is 7.

• Is 7 a whole number?

Yes 7 is a whole number.

• What are the prime factors of 7?

The factors of 7 are 1, 7.
Prime factors of 7 are 7.

• What two numbers make 7?

Two numbers that make 7 are 7 and 1.

• What are multiples of 7?

First five multiples of 7 are 14, 21, 28, 35.

• What is the sum of all factors of 7?

The sum of all factors of 7 is 8.

• What are five multiples of 7?

First five multiples of 7 are 14, 21, 28, 35, 42.

• Is 7 a perfect square?

No 7 is not a perfect square.

• What is the greatest prime factors of 7?

The greatest prime factor of 7 is 7.

#### Examples of Factors

How many factors are there for 7?

Factors of 7 are 1, 7.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 7. Can you predict the answer?

1 factor(s) of 7 is 1.

Sammy is puzzled while calculating the prime factors of 7. Can you help him find them?

Factors of 7 are 1, 7.
Prime factors of 7 are 7

What is prime factorization of 7?

Prime factorization of 7 is 7 = 7.

Ariel has been assigned the task to find the product of all the prime factors of 7. Can you help her?

Prime factors of 7 are 7.
Hence, the product of prime factors of 7.

Can you help Rubel to find out the product of the even factors of 7?

Factors of 7 are 1, 7.
Even factors of 7 are 0.
Hence, product of even factors of 7 is; 0 = 0.

Joy wants to calculate mean of all the factors of 7. Help him in finding the mean of 7.

Factors of 7 are 1, 7.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 7 is 1 + 7 = 8.
Hence, the mean of factors of 7 is 8 ÷ 2 = 4.00.