Divisibility Test of 25

What is the Divisibility of a Number?

A number is said to be totally divisible by any number if it yields a quotient as a whole number and the remainder is zero. 

For example, 24 is said to be divisible by 6 as 24/6 yields 4 as a quotient which is a whole number. But 24/5 = 4.8 which is not a whole number. Hence, 24 is not divisible by 5.

Every number is divisible by 1 as the number divided by 1 yields the number as a quotient.

Need of Divisibility Tests

Divisibility is often considered important as it sometimes becomes necessary to know whether a number divides another number. This process is easy for smaller numbers, but it becomes difficult and tedious for larger numbers. 

Therefore, divisibility tests are made so that we do not have to actually divide a number to check whether it is divisible or not. It is very useful as it saves our time and labor. 

Divisibility Test of 25

A number whose last two digits end with 00 or multiple of 25 is said to be divisible by 25. Therefore, if a number is to be checked that it is divisible by 25, then the tests mentioned above should be followed.

Divisibility Test of 25 with Examples

Example 1. Check whether 7200 is divisible by 25 or not.

Solution: 

• Firstly, check the last two digits of the number. 

• 7200 contains 00 which is in compliance with the divisibility test of 25.

• Hence, the 7200 is divisible by 25.

Example 2. Check whether 4568 is divisible by 25.

Solution:

• Check the last two digits of the number.

• The number contains neither two zeroes (i.e., 00) nor multiple of 25.

• Hence, 4568 is not divisible by 25.

Example 3. Check whether 7875 is divisible by 25.

Solution:

• Firstly, check the last two digits of the number.

• 7875 contains 75 as its last digits which is a multiple of 25. 

• Hence, it is in agreement with the above divisibility test of 25.

• Therefore, 7875 is divisible by 25.

Example 4. Check whether 54850 is divisible by 25.

Solution:

• Find out the last two digits of the number.

• 54850 has 50 as its last two digits which is a multiple of 25.

• Hence, it agrees with the above-listed test for divisibility of 25.

• Therefore, 54850 is divisible by 25.

Example 5. What number should be multiplied by 90 in order to make it divisible by 25?

1. 2

2. 15

3. 7

Solution:

• Multiply the number by natural numbers in order to make its last two digits 00 or multiple of 25. 

• 90 X 2 = 180

90 X 15 = 1350

90 X 7 = 630

• 90, when multiplied by 15, gives 1350. The last two digits of 1350 is 50 which is a multiple of 25. 

Hence, it is divisible by 25.

Conclusion

Through this guide, we got to learn about the divisibility test of 25 with examples. Otherwise, it would have been a very difficult task to check whether a number is divisible by 25 if the number is large.

Now, by going through this article we got to learn about the rules which we would apply in order to check the divisibility test of 25. We just have to find out the last two digits of the number and check whether it is 00 or multiple of 25. If it satisfies the above conditions, then the number is said to be divisible by 25. 

By doing this, our workload is reduced by a greater amount.