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Divisibility by 15:
How do you know that a number is divisible by 15? Well, a number is divisible by 15 if it is both divisible by 3 and 5. In short, a number that ends with 5 or 0 that are divisible by 3.
Example 1:
The first thing that we need to do is to inspect the given number if it is divisible by 15 or not.
Since the last digit of a given number is not 5 or 0, then the given number is not divisible by 15. Any number multiply by another number that ends with 5 is always equal to a number that ends with 5 or 0. There's a remainder of 4 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 15 or not.
Since the last digit of a given number is 5, then the given number is divisible by 5.
Next, inspect the given number if it is divisible by 3 or not as follows
Since 7 is not a multiple of 3, then the given number is not divisible by 3. Because of this, the given number is not divisible by 15. There's a remainder of 10 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 15 or not.
Since the last digit of a given number is 0, then the given number is divisible by 5.
Next, inspect the given number if it is divisible by 3 or not as follows
Since 6 is a multiple of 3, then the given number is divisible by 3. Because of this, the given number is divisible by 15. 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 given number is both divisible by 3 and 5. Again, there should be no remainder or a fraction in the division.