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Factors of 24

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Answer:
The 8 factors of 24 are:

1, 2, 3, 4, 6, 8, 12, 24
The factor pairs of 24 are:

1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24


The prime factorization is:
24 = 2 x 2 x 2 x 3

24 is highly composite with 8 factors, making it ideal for time measurement (24 hours). It's the smallest number divisible by all numbers from 1 to 4.

All Factors

The factors of 24 are:  1, 2, 3, 4, 6, 8, 12, 24

The prime factorization is: 24 = 2 x 2 x 2 x 3

Factoring of 24 Using Trial Division

Find the Factors of 24 :

  • Calculate the square root of 24 which is 4.899, and round it down to the closest whole number, 4, and use it in the next step.
  • Test the integer values 1 through 4 for division into 24 where the remainder equals 0.
  • We find 8 factors where the remainder of division is 0 and they are: 1, 2, 3, 4, 6, 8, 12, 24.

Factor Pairs

1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24

The factor pairs (multiples) that equal 24 when multiplied together are: (1 and 24), (2 and 12), (3 and 8), (4 and 6), which we found by matching up all factors of 24 which are: 1, 2, 3, 4, 6, 8, 12, 24.

Is 24 Prime or Composite?

24 is a composite number. Since it has more than two factors, we know that 24 is not prime, it is composite. Prime numbers only have two factors. They are evenly divisible by only 1 and itself.

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Furey, Edward "Factors of 24 | Factorization Calculator" at https://www.calculatorsoup.com/calculators/math/factors.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: October 28, 2025