Divisibility Test of 10

What is the divisibility rule?

In mathematics, divisibility checks or division procedures allow you to determine whether a value is divisible by some other integer without having to use the division technique. Its quotient will have a whole number as well as the remainder will behave zero if a number is totally divisible by another value.

A divisibility test is a simple approach to determine if a number is divisible by another given number by observing the digits in it’s ones, tens, hundreds, thousands place.

If the output of the divisibility process is a number which isn’t in decimal or fraction form, we can safely say that it can be divided by the said number or any other multiples of it.

Divisibility rules are a collection of basic procedures for determining if an integer is evenly divisible from another value.

Divisibility by 10:

Some procedures allow us to determine if an integer is totally divisible by the other without having to divide it. According to the divisibility rule of 10, an integer is divisible by 10 only when the ending digits of the said integer or value ends with zero. The presence of zero makes it known that the said value is divisible by 10 in every scenario.

In short, if the last digit or the digits before that end with zero or multiple zeros the number will be divisible by 10.

Divisibility rule for bigger numbers:

Divisibility tests make the whole procedure of division efficient and fast. The division procedure is easy to execute but with big numbers in question the whole process takes a lot of time. If we try to solve a number by observing whether the value 24000 can be divisible by 10, we can look at it’s end digit or the one’s place and see if it satisfies the rules of divisibility of 10. The number is said to be divisible by 10 if the end digits are zero. Here, 24,000 has its end digits as zero so it satisfies the rule of divisibility of 10 as is divisible by 10. Let’s take the number 10,000 and try to solve it by using the divisibility test of 10. The divisibility requirement of 10 is passed by 10,000 as the end digit of the given number is zero. Now let’s consider the value 2345678. The final digit or number in this example ends with 8 instead of zero, which doesn’t satisfy the rule of divisibility of 10. So, 2345678 isn’t divisible by ten.

Examples regarding divisibility by 8:

Example one:

Examine to see if 9437 is divisible by eight.

Solution:

The very last one digit of the provided value 9437 isn’t really zero.

As a result, the integer 9437 isn’t divisible by ten.

Example two:

Which one of the correct numbers should be summed up with 69 to produce a number that is divisible by 10?

(A)  1,  (B)  3,  (C)  2

Solution:

69 + 1  =  70

69 + 3  =  72

69 + 2  =  71

Explanation:

When 1 is added to 69 in the equation, the result is 70, which ends with a zero.

This figure 70 is divisible by ten since it finishes with a zero.

As a result, option A is right.

Example three:

Which one of the correct numbers should be multiplied up with 45 to produce a number that is divisible by 10?

(A)  2,  (B)  3,  (C)  5

Solution:

45×2 = 90

45×3 = 135

45×5  =  225

Explanation:

When 2 is multiplied to 45 in the equation, the result is 90, which ends with a zero.

The new figure that is 90 is divisible by ten as it ends with a zero.

As a result, option A is right

Example four:

Verify to see if 6541000 is divisible by ten.

Solution:

The end three digits of the specified value 6541000 are all zeros.

So, according to the divisibility rule this specific number passes the test of divisibility.

As a result, this number 6541000 is divisible by ten.

Conclusion:

This article talks about how the divisibility rules work in case of divisibility of ten. The article states unique examples regarding the divisibility process and tells us about tricks to find answers to help students understand better.