How many positive integers are factors of 23. How to find all positive factors of 23? Is 23 a prime or a composit number? How to find factors of 23.
asked in Basic Math by expert

1 Answer

The factors of the number 23 are: 23, 1

The square root of 23 rounded up to the nearest integer is 5. This is the limit to test our divisions because any number greater than 5 times 5 is greater than 23. So, we stop at 5.

Let's test the values 1 through 5 for division into 23.

  • 23/1 = 23. Remainder = 0. So, 23 and 1 are factors.
  • 23/2 = 11. Remainder = 1. So, 11 isn't a factor.
  • 23/3 = 7. Remainder = 2. So, 7 isn't a factor.
  • 23/4 = 5. Remainder = 3. So, 5 isn't a factor.
  • 23/5 = 4. Remainder = 3. So, 4 isn't a factor.

Factors of a number n are numbers that can divide n without remainder, ie, remainder = 0. So, choosing only the numbers that meet this criteria from the list above, we find that the numbers which divide 23 (including 23) with no remainder are: 23, 1.

So, the factors of the number 23 are: 23, 1.

A composite number has more than two factors. A prime number has only two factors: 1 and itself. The number 1 is neither prime nor composite.

Because the number 23 has just two factors (1 and itself), it is termed a prime number in mathematics.

answered by expert