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

Quick Scoop: Core Answer

  • A factor of 24 is any whole number that divides 24 with no remainder.
  • So the full list of positive factors of 24 is: 1, 2, 3, 4, 6, 8, 12, 24.

You can also include negative factors if you want the “complete” set:

  • Negative factors: -1, -2, -3, -4, -6, -8, -12, -24.

How you can find them (step-by-step)

Imagine you’re “testing” numbers to see which ones fit perfectly into 24:

  1. Start with 1:
    • 24 ÷ 1 = 24 → works, so 1 and 24 are factors.
  1. Try 2, 3, 4:
    • 24 ÷ 2 = 12 → 2 and 12 are factors.
 * 24 ÷ 3 = 8 → 3 and 8 are factors.

 * 24 ÷ 4 = 6 → 4 and 6 are factors.
  1. Stop at 24\sqrt{24}24​ (about 4.9):
    • Once you’ve checked up to 4, you’ve actually found all factor pairs:
      • (1, 24), (2, 12), (3, 8), (4, 6).

So from these pairs , you can read off the full factor list.

A quick number-story for 24

Think of 24 as a party where it can “split” itself into equal groups in many ways:

  • 24 cookies shared among:
    • 2 friends → 12 each.
    • 3 friends → 8 each.
    • 4 friends → 6 each.
    • 6 friends → 4 each.
    • 8 friends → 3 each.
    • 12 friends → 2 each.
    • 24 friends → 1 each.

Every “fair share” split is really just another factor pair of 24.

Prime factor angle (for extra insight)

If you break 24 all the way down into prime numbers:

  • 24 = 2 × 2 × 2 × 3 = 23×32^3×323×3.
  • Using those exponents, you can count factors:
    • (3 + 1) × (1 + 1) = 4 × 2 = 8 total positive factors.

This matches the list you saw: 8 distinct positive factors.

Mini FAQ

  • How many positive factors does 24 have?
    8 positive factors.
  • What are the factor pairs of 24?
    Positive pairs: (1, 24), (2, 12), (3, 8), (4, 6).

Bottom note: Information gathered from public forums or data available on the internet and portrayed here.