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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.

In this page, a simple overview of the divisibility test for 5 is provided.

click on the content to continue..

Which of the following are multiples of 5?

• 5,10,15,20,25, cdots
• 5,10,15,20,25, cdots
• 11,22,33,44,cdots

The answer is "5,10,15,20,25, cdots".

Consider the multiples of 5 given as 5,10,15,20,25, cdots. Is there any similarity observed in the multiples?

• all are ending in 0 or 5
• all are ending in 0 or 5
• there is no similarity observed

The answer is "all are ending in 0 or 5"

The multiples of 5 has either 5 or 0 in the units place.

Explanation for the curious mind

A large number like 2344 can be given as 234xx10+4.

It was learned that if one addend is divisible, then the divisibility is decided by the other addend.

234xx10 is divisible by 5 as 10=5xx2.

So, the divisibility test is done on the last digit, that is the units digits. In the units digit the possible values are 5 and 0.

Consider 10 and 25. Which of these is divisible by 5?

• 10
• 25
• both the above
• both the above

The answer is "both 10 and 25"

Test for Divisibility by 5 : If the units digit is 5 or 0, then the number is divisible by 5.

Is 2018 divisible by 5?

• Yes
• No
• No

The answer is "No". Checking the digit in units place 8, it is concluded that the number is not divisible by 5.

Is 920 divisible by 5?

• Yes
• Yes
• No

The answer is "Yes". Checking the digit in units place 0, it is concluded that the number is divisible by 5.

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