Final answer:
Among the given numbers, only 16 is a factor of 256, because it divides evenly into 256 with no remainder, resulting in the quotient 16.
Step-by-step explanation:
The question is asking to determine which of the following numbers is a factor of 256: 1) 16, 2) 28, 3) 125, 4) 512. A factor of a number is a whole number that can be divided into that number without leaving a remainder. To find the factors of 256, we can test each of the given options by dividing 256 by each number.
- 256 ÷ 16 = 16
- 256 ÷ 28 = 9.14285714
- 256 ÷ 125 = 2.048
- 256 ÷ 512 = 0.5
Out of these calculations, only 16 divides into 256 perfectly, as 256 divided by 16 equals 16, without leaving a remainder. Therefore, option 1) 16 is the correct answer.