Please provide a rating, it takes seconds and helps us to keep this resource free for all to use
Welcome to our Math lesson on Divisibility by 14, this is the fourteenth lesson of our suite of math lessons covering the topic of Divisibility Rules, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Rule: "A number is divisible by 14 if it is divisible by both 2 and 7."
This rule is similar to that of divisibility by 6, where a number must be divisible by both 2 and 3. Obviously, we have to consider only even numbers, as only them are divisible by 2. If this condition is met, we then proceed with the divisibility by 7 rule.
For example, 1834 is divisible by 14 as it is an even number (it is divisible by 2 therefore) and 2 × 4 - 183 = -175, which is a number divisible by 7 as -175 ÷ 7 = -25.
On the other hand, 7133 is not divisible by 14 as despite it is divisible by 7 (2 × 3 - 713 = -707, which when divided by 7 gives -101), it is an odd number and is not divisible by 2.
Likewise, 4190 is not divisible by 14, as despite it is an even number (is divisible by 2 therefore), it is not divisible by 7 because 2 × 0 - 419 = -419; again, 2 × 9 - 41 = -23, a number not divisible by 7.
The Proof: made using the calculator gives 1834 ÷ 14 = 131; 7133 ÷ 14 = 509.5; and 4190 ÷ 14 = 299.2857... respectively. These results confirm our solution.
Enjoy the "Divisibility by 14" math lesson? People who liked the "Divisibility Rules lesson found the following resources useful:
Please provide a rating, it takes seconds and helps us to keep this resource free for all to use
We hope you found this Math tutorial "Divisibility Rules" useful. If you did it would be great if you could spare the time to rate this math tutorial (simply click on the number of stars that match your assessment of this math learning aide) and/or share on social media, this helps us identify popular tutorials and calculators and expand our free learning resources to support our users around the world have free access to expand their knowledge of math and other disciplines.