Divisibility Rule for 6 - How to Find If a Number Divisible by 6?

The divisibility rules of 6 are helpful to say whether any given number is divisible by 6 or not. It says that when a number is perfectly divisible by 6, it leaves the remainder as zero and the whole number as a quotient. So check the divisibility rules for all numbers to tell the divisibility of the number without performing the division operation. Here we are giving the divisivility rule for 6 definitions with examples. Also, check the steps to find the divisibility by six and other useful data.

What is the Divisibility Rule for 6?

To say that a whole number is divisible by 6 it should satisfy the following two conditions.

• The given number should be divisible by 2. A number is divisible by 2 when the unit place of the number is even i.e 0, 2, 4, 6, and 8.
• The given number must be divisible by 3. A number is divisible by 3 when the sum of all digits of the number is divisible by 3.

The number should fulfil both conditions to do the divisibility test of 6. If the number doesn't satisfy both conditions, then it is not divisible by 6.

How to Find Divisibility by Six?

The procedure to perform the divisibility test by 6 are listed here:

• Observe whether the given number is even or odd. If the number ends with 0, 2, 4, 6, or 8 then it is an even number.
• All the even numbers are divisible by 2.
• Calculate the sum of all digits of the number. If the sum is divisible by 3 then the number is divisible by 3.
• If the given whole number satisfies both divisible by 3 and 2, then the number is said to be divisible by 6.

Divisibility Test for 6 Examples

Example 1:

Find whether the number 4590 divisible by 6 or not.

Solution:

Given number is 4590

The number ends with 0, so it is an even number

Hence 4590 is divisible by 2.

The sum of digits of the number = 4 + 5 + 9 + 0 = 18

18 is divisible by 3

So, 4590 is divisible by 3

Therefore, 4590 is divisible by 6 as it is divisible by both 2 and 3 numbers.

Example 2:

Check whether the number 15873 is divisible by 6 or not by using the divisibility test of 6.

Solution:

Given number is 15873

The number ends with 3 so it is an odd number

And the number 15873 is not divisible by 2

The sum of digits in 15873 = 1 + 5 + 8 + 7 + 3 = 24

24 is divisible by 3, so 15873 is divisible by 3

Therefore, 15873 is not divisible by 6 as it is not divisible by 2.

What numbers are divisible by 6

List of Numbers divisible by 6: The Numbers 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 306, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414, 420, 426, 432, 438, 444, 450, 456, 462, 468, 474, 480, 486, 492, 498, 504, 510, 516, 522, 528, 534, 540, 546, 552, 558, 564, 570, 576, 582, 588, 594, 600, etc. are divisible by 6.

FAQs on Divisibility of 6

1. Define the divisibility rule for 6?

A number is divisible by 6 if it is divisible by 2 and divisible by 3. In simple terms, an even which is the multiple of 3 is divisible by 6.

2. What is another word for divisible?

The other words for divisible are partible, divided, separable, distinct, and so on.

3. Is 6 divisible by any number?

There is an infinite list of numbers divisible by 6. The list of numbers are 6, 12, 18, 24, 30, 36, and so on.

Summary

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