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Divisibility Rule of 6

A number is said to be divisible by another number if the remainder of the division is a zero(0). Divisibility rules are often used to determine, if a number is divisible by another number or not. In this article, we are going to discuss the divisibility rule of 6.

Divisibility Rules

Divisibility rules are a set of general rules, often used to determine whether a number is evenly divisible by another number or not.

Although there are divisibility tests for numbers in any base, they are all different.

Here, presents rules and examples only for a decimal or base 10 numbers. 

Martin Gardner explained and popularized rules in his “Mathematical Games, September 1962” column of Scientific American.

Martin Gardner - Explained Divisibility Rule
Martin Gardner (Source)

He was best known for creating sustaining interest in recreational mathematics principally through his “Mathematical Games” columns, throughout the latter half of the 20th century.

This column lasted for 25 years and was avidly read by the generation who grew up in the years 1956 to 1981.

Divisibility Rule of 6 With Examples

The divisibility rule of 6 simply says that,

If a number is divisible by both 2 and 3, then only it is divisible by 6.

Examples:

  1. \(\bf{421 \div 6}\)
    Firstly we check divisibility rule for 3 
    4 + 2 + 1 = 7, it is not divisible by 3
    And since 421 is an odd number so it is not divisible by 2
    Therefore, 421 is not perfectly divisible by 6
    \(421 \div 6 = 70.166\)
  2. \(\bf{420 \div 6}\)
    Again, we firstly we check divisibility rule for 3 
    4 + 2 + 0 =  6, it is divisible by 3
    And since 420 is an even number so it is divisible by 2
    Therefore, 420 is perfectly divisible by 6
    \(420 \div 6 = 70\)

FAQs

What is the divisibility rule of 6?

If a number is divisible by both 2 and 3, then only it is divisible by 6.

What is the divisibility rule of 2?

If a number is even, i.e., if it ends with 2, 4, 6, 8, or 0, it is divisible by 2.

What is the divisibility rule of 3?

If the sum of all digits is divisible by three, the number is divisible by 3.

Is 2021 divisible by 6?

2021 is not divisible by 6 since it is not divisible by 2.

Know More Divisibility Rules:

Divisibility Rule of 7Divisibility Rule of 9
Divisibility Rule of 5
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