Prime Factors of 23

Steps to find Prime Factors of 23 by 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.

Steps to find Prime Factors of 23 by 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.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 23 are 23.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 23 but not a prime factor of 23.

Frequently Asked Questions

• Which is the smallest prime factor of 23?

  Smallest prime factor of 23 is 23.

• What are the factors of 23?

  Factors of 23 are 1 , 23.

• What is prime factorization of 23 in exponential form?

  Prime factorization of 23 in exponential form is 23.

• Is 23 a prime number or a composite number?

  23 is a prime number.

• Is 23 a prime number?

  true, 23 is a prime number.

• What is the sum of all prime factors of 23?

  Prime factors of 23 are 23. Therefore, their sum is 23.

• What is the product of all prime factors of 23?

  Prime factors of 23 are 23. Therefore, their product is 23.

• What numbers are the prime factors of 23?

  Prime factors of 23 are 23.

• What is the sum of all odd prime factors of 23?

  Prime factors of 23 are 23, out of which 23 are odd numbers. So, the sum of odd prime factors of 23 is 23 = 23.