Divisibility Rule for 14
The divisibility test of 14 checks of the number is divisible by 14 or not. If any number is completely divisible by 14 then the quotient will be a whole number and the remainder is zero. In simple words, the divisibility rule for 14 says that if a number is divisible by 14 then it should be divisible by both 7 and 2. Check the complete information about the test of divisibility for 14, the steps on how to prove it and solved questions.
What is the divisibility rule of 14?
Any even number which is divisible by 7 is divisible by 14. The divisibility of 7 states that subtract the double of the last digit from the remaining digits of the number. If the difference is a multiple of 7, then the number is divisible by 7.
Example: Take number 224.
Subtraction = 22 - (4 x 2) = 22 - 8 = 14
14 is divisible by 14
So, 224 is divisible by 7 and it is divisible by 2
Therefore, 224 is divisible by 14
Process to Check If any Number Divisible by 14
Here is the step-by-step procedure to check if a number is divided by 14 or not.
- Consider any number.
- Check whether the number is even or odd.
- If an even number, then double the end digit.
- Subtract the product from the remaining digits of the number.
- When the difference is divisible by 7, then the number is divisible by 14.
- Either the number is odd or the difference is not a multiple of 14 then the number is not divisible by 14
What numbers are divisible by 14
List of Numbers divisible by 14: The Numbers 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658, 672, 686, 700, 714, 728, 742, 756, 770, 784, 798, 812, 826, 840, 854, 868, 882, 896, 910, 924, 938, 952, 966, 980, 994, 1008, 1022, 1036, 1050, 1064, 1078, 1092, 1106, 1120, 1134, 1148, 1162, 1176, 1190, 1204, 1218, 1232, 1246, 1260, 1274, 1288, 1302, 1316, 1330, 1344, 1358, 1372, 1386, 1400, etc. are divisible by 14.
Divisibility Test for 14 Worked Problems
Problem 1:
Prove that 20622 is divisible by 14.
Solution:
Given number is 20622
A number is an even number so it is divisible by 2
Double of the last digit is 2 x 2 = 4
Subtraction = 2062 - 4 = 2058
Double of the last digit = 8 x 2 = 16
Subtraction = 205 - 16 = 189
Double of the last digit = 9 x 2 = 18
Subtraction = 18 - 18 = 0
So, 20622 is divisible by 7
Thus, 20622 is divisible by 14.
Problem 2:
Is 2870 divisible by 14.
Solution:
Given number is 2870
The number ends with 0 so it is an even number
Double of the last digit is 0 x 2 = 0
Subtraction = 287 - 0 = 287
287 is a multiple of 7
So, 2870 is divisible by 14
FAQs on Divisibility Rule of 14
Which is not divisible by 14?
All the odd numbers are not divisible by 14?
How do you know if divisibility is 14?
The divisibility for 14 is when a number is divisible by both 2 and 7 then the number is exactly divisible by 14.
Write an example for divisibility by 14?
252 is an example of a divisibility rule for 14.
252 is an even number so it is divisible by 2
Double of the end digit is 2 x 2 = 4
Subtraction = 25 - 4 = 21
As 21 is divisible by 7, 252 is also divisible by 7
252 is divisible by both 7 and 2
Hence 252 is divisible by 14.
Conclusion
Hoping that the details given here about the Divisibility Rule for 14 is useful for you. Visit our site RoundingCalculator.guru regularly to know more details about divisibility.
