Factors of 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:

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.

Frequently Asked Questions

• 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