To find the factors of 224, we need to determine which numbers can be multiplied together to result in 224.
We start by dividing 224 by the smallest prime numbers:
- 224 ÷ 1 = 224
- 224 ÷ 2 = 112
- 224 ÷ 4 = 56
- 224 ÷ 7 = 32
- 224 ÷ 8 = 28
- 224 ÷ 14 = 16
- 224 ÷ 16 = 14
- 224 ÷ 28 = 8
- 224 ÷ 32 = 7
- 224 ÷ 56 = 4
- 224 ÷ 112 = 2
- 224 ÷ 224 = 1
Thus, the complete set of factors of 224 includes:
- 1
- 2
- 4
- 7
- 8
- 14
- 16
- 28
- 32
- 56
- 112
- 224
In summary, the factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, and 224. Each of these numbers divides 224 without leaving a remainder.