Which number is a factor of 10, but not a multiple of 5?
The Correct Answer and Explanation is:
Correct Answer: 2
Explanation:
To find the correct answer, we need to understand two key mathematical concepts: factors and multiples. Let’s break down what these terms mean and how they apply to the number 10 and the number 5.
A factor of a number is any whole number that divides evenly into that number without leaving a remainder. For example, the factors of 10 are 1, 2, 5, and 10. This means:
- 1 × 10 = 10
- 2 × 5 = 10
So, 1, 2, 5, and 10 are all factors of 10.
A multiple of a number is the result of multiplying that number by another whole number. The first few multiples of 5 are:
- 5 × 1 = 5
- 5 × 2 = 10
- 5 × 3 = 15
- and so on
So the multiples of 5 include 5, 10, 15, 20, 25, and so on. These numbers can be formed by multiplying 5 by other whole numbers.
The question asks for a number that is a factor of 10 but not a multiple of 5. Let’s examine each factor of 10:
- 1 is a factor of 10 but not a multiple of 5
- 2 is a factor of 10 but not a multiple of 5
- 5 is a factor of 10 and is also a multiple of 5
- 10 is a factor of 10 and also a multiple of 5
Now we are asked to find a number that satisfies both conditions:
- It must be a factor of 10
- It must not be a multiple of 5
Looking at the list above, the number that meets both conditions is 2.
It divides evenly into 10, so it is a factor. However, it cannot be formed by multiplying 5 with any whole number. Therefore, 2 is the correct answer
.
