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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 4 is provided.

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Consider 100 and 24. Which of these is divisible by 4?

Check this by long division method.

• 100
• 24
• both the above
• both the above

The answer is "both 100 and 24"

The multiples of 4 have the property that last two digits are divisible by 4.

Explanation for the curious mind

A large number like 2344 can be given as 23xx100+44.

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

23xx100 is always divisible by 4 as 100=25xx4.

So, the divisibility test is done in 44, that is the tens and units digits.

Test for Divisibility by 4 : If the last 2 digits (tens and units place value positions) of the number is divisible by 4 then the number is divisible by 4.

Is 2018 divisible by 4?

• Yes
• No
• No

The answer is "No". Checking the tens and units digits 18, it is concluded that the number is not divisible by 4.

Is 920 divisible by 4?

• Yes
• Yes
• No

The answer is "Yes". Checking the tens and units digits 20, it is concluded that the number is divisible by 4.

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