Final answer:
a.1
The number that evenly divides 24 among the given options is 1 (option a), as 1 is a universal divisor for any integer.
Step-by-step explanation:
The number that evenly divides 24 is option a.1. Every integer is divisible by 1, which makes it a universal divisor. When we divide any number by 1, the result is the number itself, exemplifying one of the fundamental rules of arithmetic, known as the identity property of multiplication.
Therefore, 24 divided by 1 gives us 24, indicating that it is evenly divisible without any remainder. Despite other numbers such as 2, 3, 4, 6, 8, 12, and 24 itself also being divisors of 24, option a (1) is the number listed that will divide 24 evenly, according to the given choices.
To determine which number evenly divides 24, we can test each option and check if the result is a whole number. By dividing 24 by 1, we get 24, by 10 we get 2.4, by 5 we get 4.8, and by 20 we get 1.2. Only the number 1 divides 24 evenly, resulting in a whole number. Therefore, the answer is a. 1.