How to calculate the factors of 24?

The square root of 24 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 24. So, we stop at 5.

Let's test the values 1 through 5 for division into 24.

• 24/1 = 24. Remainder = 0. So, 24 and 1 are factors.
• 24/2 = 12. Remainder = 0. So, 12 and 2 are factors.
• 24/3 = 8. Remainder = 0. So, 8 and 3 are factors.
• 24/4 = 6. Remainder = 0. So, 6 and 4 are factors.
• 24/5 = 4. Remainder = 4. So, 4 isn't a factor.

Factors of a number 'x' are numbers that can divide 'x' 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 24 (including 24) with no remainder are: 24, 12, 8, 6, 4, 3, 2, 1.

So, the factors of the number 24 are: 24, 12, 8, 6, 4, 3, 2, 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 24 has 8 factors, it is termed a composite number in mathematics.