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Divisibility by 8:
How do you know that a number is divisible by 8? Well, a number is divisible by 8 if the last three digits of a given number is a multiple of 8 or divisible by 8. Also, if the last digit of a given number ends with 000 is also divisible by 8.
Example1:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Since the given number is an odd number, then obviously that it is not divisible by 8. All multiples of 8 are even numbers. There's a remainder of 5 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Although the given number is an even number, still we need to inspect the last three digit which is 086. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and so on. Since 86 is not a multiple of 8, then the given number is not divisible by 8. There's a remainder of 6 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 3:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, and so on. Since the last digit of a given number which is 104 is a multiple of 8, then the given number is divisible by 8. There's no remainder or a fraction in the division.
Example 4:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Since the last three digit of a given number is 000, then the given number is divisible by 8. There's no remainder or a fraction in the division.
You should consider in studying the divisibility of a number because you will use these principles later when you will study higher Math subjects that involves the division of a number, simplifying fractions, and even factoring.
This method can also be used for negative integers as long as the last three digit of a given number is a multiple of 8 or 0. Again, there should be no remainder or a fraction in the division.