Even Numbers: Overview, Questions, Preparation

Number System 2021 ( Maths Number System )

Rajdeep Das
Updated on Sep 3, 2021 11:19 IST

By Rajdeep Das

All integers which are divisible by 2 giving remainder as zero, in the end, are known as Even Numbers whereas the numbers not directly divisible are referred to as odd numbers. Even numbers include 2,4,6,8,10,... and so on.

To check if a number is even, we have to check if the number always ends with 0,2,6,4,8, then, it is even.

Table of content
  • Properties of Even Numbers
  • Importance and Weightage
  • FAQs
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Properties of Even Numbers

1.Property of Addition: On adding two even numbers, the resulting sum is also an even number.

Suppose a and b as two even numbers. On adding a and b,

a(even number) + b(even number) = sum(even number)

On adding an even number with an odd number or vice-versa, the resulting sum will always be an odd number.

a(odd number) + b(even number) = sum(odd number)

  1. Property of Subtraction: On subtracting two even numbers, the resulting difference between the two numbers will also be an even number.

x(even number) - y(even number) = difference(even number)

On subtracting an even number from an odd number or the vice-versa, the resulting difference will always be an odd number.

x(odd number) - y(even number) = difference(odd number) 

  1. Property of Multiplication: On multiplying two even numbers, the resulting product will also be an even number.

p(even number) * q(even number) = product(even number)

On multiplying an odd number with an even number, the resulting product will always be an even number.

p(odd number) * q(even number) = product(even number)

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Importance and Weightage

I taught this topic in class 2nd, 3rd,4th, 5th and 6th. The chapter in 6th class carries 24 marks.

This topic is taught in class 6th and holds a very basic knowledge of mathematics. It helps in understanding the number system and its different types.

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FAQs

Q: (-4) is an even number?

A: Yes

Q: Are all even numbers composite numbers?

A: Yes, all even numbers except 2 are composite numbers.

Q: Is 8795430 an even number?

A: Yes

Q: Can even numbers are prime?

A: No, only 2 is the only even prime number.

Q: Difference between factor and multiple of a number?

A: Multiples are the numbers which appear when we build the multiplication table of a number whereas the numbers which get multiplied while creating the table are known as factors.
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