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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, the concept of divisibility is introduced with simple examples.

click on the content to continue..

What is 5-:2?

• only 2
• quotient 2 and remainder 1
• quotient 2 and remainder 1
• both the above

The answer is "quotient 2 and remainder 1".

What is 6-:2?

• only 3
• quotient 3 and remainder 0
• both the above
• both the above

The answer is "both the above".

Note the difference

•  Result of 6-:2 is, quotient 3 and remainder 0.

•  Result of 5-:2 is, quotient 2 and remainder 1

For a given divisor, the numbers can be grouped as

•  numbers for which remainder is 0 and

•  numbers for which remainder is not 0.

A number is called "divisible" by a divisor, if the remainder is 0.

Which of the following is a meaning for the word "divisible"?

• having capability to be divided with 0 remainder
• having capability to be divided with 0 remainder
• having capability to change from one activity to another

The answer is "having capability to be divided with 0 remainder".

What is the term used to refer "a number can be divided without remainder"?

• Pronunciation : Say the answer once

Divisibility : A number (dividend) is divisible by a divisor number if the remainder is 0.

Is 42 divisible by 8?

• Yes
• No
• No

The answer is "No". 42-:8 = 5 text( quotient ) 2 text( remainder ). So 42 is not divisible by 8.

Is 12 divisible by 6?

• Yes
• Yes
• No

The answer is "Yes". 12-:6 = 3 text( quotient ) 0 text( remainder ). So 12 is divisible by 6.

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