Divisibility Test of 16

What is a divisibility test?

Divisibility rules are viewed as principles applicable to a number to find out whether something is divisible by other new values or not. There are specific divisibility rules available from number 1 to 20. These divisibility tests, such as the divisibility test of 16, allow us to determine factors and multiples of numbers without having to divide them using the usual division process. The divisibility rules allow users to efficiently examine if a value is divisible by some other integer. All through this article, we’ll be studying further about divisibility checks.

The divisibility rule is a short and efficient way which helps in determining if a specific number can be divisible from another given number just by looking at the given numbers digits, instead of doing the whole division process. When these divisibility criterias are used, it makes calculating the values more efficient for the user. Dividing a number usually means distributing the number in equal halves.

Divisibility of 16:

The divisibility test of 16 is unique and has two ways of finding out the results. This  one of the easiest rule in the whole divisibility rule chart as it makes it efficient and fast to calculate the result for divisibility. The two ways are mentioned below:

Thousand digit rule is followed when calculating divisibility rule of 16, the rule has two scenarios namely :

1. If number thousand place digit is even:

• Observe the last three digits of the number.

• The last two digits are to be added to the product of the hundreds place digit multiplied by 4. For eg. 615 can be written as 6×4 = 24, 24 + 15

• The actual number must be divisible by 16 if the output is divisible by 16.

2. If the thousand place digit is odd:

• Observe the last three digits of the number

• Add 8 to the last three digits.

• The actual number must be divisible by 16 if the output is divisible by 16.

Examples regarding divisibility by 16:

Example one:

Verify whether the number 45678 is divisible by 16.

Solution:

In the given number 495878, the digit in thousands position is odd. So, rule two is applied.

The last three digits of the number are 878

 So, 878+8 = 886

The resultant number 886 isn’t divisible by 16 so the number 495878 isn’t divisible by 16.

Example two:

Verify whether the number 266192 is divisible by 16.

Solution:

Here the number 266192, has its thousands position as even. So, rule one is applied.

The last three digits of the number are 192

So, 1×4 = 4

92 + 4 = 96

The resultant number 96 is divisible by 16 so the number 266192 is divisible by 16.

Example three:

Verify whether the number 333112 is divisible by 16.

Solution:

Here, the digit in thousands position is odd. So, rule two must be applied.

The last three digits of the number are 112

 112+8 = 120

The resultant number 120 isn’t divisible by 16 so the number 333112 isn’t divisible by 16.

Example four:

Verify whether the number 834224 is divisible by 16.

Answer:

In 834224 the thousands place has an even number and rule 1 is applied..

The last three digits of the number are 192

So, 2×4 = 8

24 + 8 = 32

The resultant number 32 is divisible by 16 so the number 834224 is divisible by 16.

Example 5:

Verify whether the number 834224 is divisible by 16.

Solution:

The given number 938754 has its thousands position digit as even. So, rule one is applied to the given value,

The last three digits of the number are 192

So, 7×4 = 28

54 + 28 = 82

The resultant number 82 isn’t divisible by 16 so the number 938754 isn’t divisible by 16.

Conclusion:

This article explains to readers how the divisibility rules work in case of divisibility test of 16. The article explains the readers with unique examples about the divisibility process and tells us about efficient ways to know divisibility of  a number.