Which of the following numbers are multiples of 7? This question often arises when we are trying to identify numbers that are divisible by 7 without leaving a remainder. Multiples of 7 are a fascinating aspect of mathematics, and they have numerous applications in various fields. In this article, we will explore the concept of multiples of 7, their properties, and how to identify them easily.
Multiples of 7 are numbers that can be divided by 7 without any remainder. For instance, 7, 14, 21, 28, 35, and so on, are all multiples of 7. To determine whether a number is a multiple of 7, we can follow a simple rule: if the last digit of the number is divisible by 7, then the entire number is a multiple of 7.
Let’s take a look at some examples to understand this concept better. Consider the number 28. The last digit is 8, which is divisible by 7 (8 ÷ 7 = 1 with no remainder). Therefore, 28 is a multiple of 7. On the other hand, the number 27 is not a multiple of 7 because the last digit, 7, is not divisible by 7 (7 ÷ 7 = 1 with a remainder of 0).
One interesting property of multiples of 7 is that they always end in either 0, 7, or a number that is divisible by 7. For instance, the multiples of 7 up to 100 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98. Notice that the last digits of these numbers are either 0, 7, or a number divisible by 7.
To identify multiples of 7 in a given range, we can use a simple formula. Let’s say we want to find the multiples of 7 between 1 and 100. We can start with the smallest multiple of 7, which is 7, and then keep adding 7 to the previous number to get the next multiple. This process will continue until we reach or exceed the upper limit of the range.
In conclusion, multiples of 7 are numbers that can be divided by 7 without leaving a remainder. They have specific properties, such as ending in 0, 7, or a number divisible by 7. By following the simple rule of checking the last digit, we can easily identify multiples of 7. Whether you are a student learning about mathematics or someone who needs multiples of 7 for a specific purpose, understanding this concept will undoubtedly help you in various scenarios.
