# Factors of 23

Factors of 23 are 1 and 23

#### How to find factors of a number

 1.   Find factors of 23 using Division Method 2.   Find factors of 23 using Prime Factorization 3.   Find factors of 23 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 23

• Divide 23 by 1: 23 ÷ 1 : Remainder = 0
• Divide 23 by 23: 23 ÷ 23 : Remainder = 0

Hence, Factors of 23 are 1 and 23

#### 2. Steps to find factors of 23 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 23 using the division method, follow these steps:

• Step 1. Start dividing 23 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 23, which is 23. Divide 23 by 23 to obtain the quotient (1).
23 ÷ 23 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 23 is, 23 = 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 23 as shown below:

So, the prime factorization of 23 is, 23 = 23.

#### 3. Find factors of 23 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 23 would be the two numbers which, when multiplied, give 23 as the result.

The following table represents the calculation of factors of 23 in pairs:

Factor Pair Pair Factorization
1 and 23 1 x 23 = 23

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 23. They are called negative pair factors.

Hence, the negative pairs of 23 would be ( -1 , -23 ) , .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 23 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, 23 are exact divisors of 23.
• Factors of 23 are 1, 23. Each factor divides 23 without leaving a remainder.

• What are the pair factors of 23?

Pair factors of 23 are (1,23).

• What are five multiples of 23?

First five multiples of 23 are 46, 69, 92, 115, 138.

• What two numbers make 23?

Two numbers that make 23 are 23 and 1.

• What is the sum of all factors of 23?

The sum of all factors of 23 is 24.

• What are factors of -23?

Factors of -23 are -1, -23.

• What are factors of 23?

Factors of 23 are 1, 23.

• Is 23 a perfect square?

No 23 is not a perfect square.

• Which is the smallest prime factor of 23?

Smallest prime factor of 23 is 23.

• Which is greatest factor of 23?

The greatest factor of 23 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 23?

Factors of 23 are 1, 23.
Odd factors of 23 are 1, 23.
Hence product of odd factors of 23 is; 1 x 23 = 23.

Joey wants to write all the prime factors of 23 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 23 are 23.
So in exponential form it can be written as 23.

How many factors are there for 23?

Factors of 23 are 1, 23.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 23. Can you predict the answer?

1 factor(s) of 23 is 1.

Sammy is puzzled while calculating the prime factors of 23. Can you help him find them?

Factors of 23 are 1, 23.
Prime factors of 23 are 23

What is prime factorization of 23?

Prime factorization of 23 is 23 = 23.

Can you help Rubel to find out the product of the even factors of 23?

Factors of 23 are 1, 23.
Even factors of 23 are 0.
Hence, product of even factors of 23 is; 0 = 0.