Factors of 23

Factors of 23 are the list of integers that we can split evenly into 23. There are overall 2 factors of 23 i.e. 1 and 23 where 23 is the biggest factor. The sum of all factors of 23 is 24 and its factors in Pairs are (1, 23).

• Factors of 23: 1 and 23
• Negative Factors of 23: -1 and -23
• Prime Factors of 23: 23
• Prime Factorization of 23: 23
• Sum of Factors of 23: 24

What Are the Factors of 23?

The number 23 is a prime number. Being a prime number, 23 has just two factors, 1 and 23. The pair factors of the number 23 are integers but not any fraction or a decimal number. 

Also, both the digits, 2 and 3, are prime.

Explore factors using illustrations and interactive examples.

• Factors of 37: The factors of 37 are 1 and 37.
• Factors of 24: The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
• Factors of 27:  The factors of 27 are 1, 3, 9, and 27.
• Factors of 29: The factors of 29 are 1 and 29.
• Factors of 25: The factors of 25 are 1, 5, and 25.

We can calculate the factors of a number in two ways, either by division method or by prime factorization. Let's begin calculating the factors of 23 by the division method, starting with the whole number 1. 

• 23 ÷ 1 = 23 and remainder is 0. 
• Now divide 23 with the next whole number. Is the remainder 0? Definitely, no!
• 23 ÷ 23 = 1 and remainder is 0.
• Thus we find that 23 is not divisible by any other number.
• Since it's a prime number, it has just two factors, 1 and 23.

Prime factorization means expressing a number as the product of its prime factors. In the factorization method, consider the numbers, 1 and 23 as factors of 23. 23 is a prime number. It has only two factors, i.e., the number 1 and the number 23 itself. So the prime factorization of the number 23 is 23.

The pair of numbers which gives 23 when multiplied are the factors of 23 in pairs. The following are the positive and negative factor pairs of 23: (1, 23) and (-1,-23). 

• 23 is a prime number and has only 1 and 23 as its factors. 
• 23 is the prime factor of 23.