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Tuesday, May 20, 2014

Divisibility - 14

Category: Arithmetic

"Published in Newark, California, USA"

Divisibility by 14:

How do you know that a number is divisible by 14? Well, a number is divisible by 14 if it is both divisible by 2 and 7. In short, an even number that is divisible by 7. 

Example 1:


The first thing that we need to do is to inspect the given number if it is divisible by 14 or not.

Since the given number is an odd number, then the given number is not divisible by 14. An even number multiply by an odd number or an even number is always an even number. There's a remainder of 13 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 14 or not.

Since the given number is an even number, then we can inspect the given number if it is divisible by 7 or not as follows







Since 68 is not a multiple of 7, then the given number is not divisible by 7. Because of this, the given number is not divisible by 14. 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 14 or not.

Since the given number is an even number, then we can inspect the given number if it is divisible by 7 or not as follows







Since 28 is a multiple of 7, then the given number is divisible by 7. Because of this, the given number is divisible by 14. 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 2 and 7. Again, there should be no remainder or a fraction in the division.