Factor Calculator

Factors of 23

The factors of 23 are 1 and 23. Since 23 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 24, and its prime factorization is simply 23 itself.

All factors of 23

Here are all 2 factors of 23, listed from smallest to largest.

123

Factor pairs of 23

There is only one factor pair for 23, because it is prime.

1 × 23 = 23

Prime factorization of 23

23 is a prime number, so it cannot be broken down further. Its prime factorization is simply 23.

Properties of 23

Number of factors2
Sum of factors24
Sum of proper factors1
Prime factorization23
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 23 interesting

  • 23 is a prime number, so its only factors are 1 and 23. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 23 yourself

Divide 23 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √23 ≈ 4.80, because every factor above that pairs with one below it.

23 ÷ 1 = 23 ✓

Reading both columns gives every factor: 1, 23. The factor calculator does this automatically for any number.

Numbers mathematically connected to 23.

Frequently asked questions about 23

What are the factors of 23?

The factors of 23 are 1 and 23. That is 2 factors in total, counting both 1 and 23.

Is 23 a prime number?

Yes, 23 is a prime number. It has exactly two factors: 1 and 23. No other whole number divides it evenly.

What is the prime factorization of 23?

23 is already prime, so its prime factorization is simply 23. It cannot be broken down any further.

What two numbers multiply to give 23?

There is 1 pair of whole numbers that multiply to 23: 1 × 23.

What is the sum of the factors of 23?

Adding all the factors of 23 together gives 24. Excluding 23 itself, the proper factors sum to 1.

Is 23 a perfect square?

No, 23 is not a perfect square. There is no whole number that multiplies by itself to give 23. The nearest perfect squares are 16 and 25.

What is the largest factor of 23 other than itself?

The largest factor of 23 apart from 23 itself is 1, since 23 ÷ 1 = 23.

How many factors does 23 have?

23 has 2 factors: 1 and 23.

Explore more

Try another number in the factor calculator, break 23 down further with the prime factorization calculator, or compare 23 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.