# Divisibility for 54

## Enter Number

Is 54 divisible by:
2,3,4,5,6,7,8,9,10,11

## Divisibililty Check for 2

Last digit ends in 0,2,4,6,8

The last digit of 54 is 4

Since 4 is equal to 0,2,4,6,8:
then 54 is divisible by 2

## Divisibililty Check for 3

Sum of the digits is divisible by 3

The sum of the digits for 54 is 5 + 4 = 9

Since 9 is divisible by 3:
Then 54 is divisible by 3

## Divisibililty Check for 4

Take the last two digits
Are they divisible by 4?

The last 2 digits of 54 are 54

Since 54 is not divisible by 4:
Then 54 is not divisible by 4

## Divisibililty Check for 5

Number ends with a 0 or 5

The last digit of 54 is 4

Since 4 is not equal to 0 or 5:
Then 54 is not divisible by 5

## Divisibililty Check for 6

Divisible by both 2 and 3

Since 54 is divisible by 2 and 3:
Then 54 is divisible by 6

## Divisibililty Check for 7

Multiply each respective digit by 1,3,2,6,4,5
Work backwards
Repeat as necessary

4(1) + 5(3) = 20
Since 20 is not divisible by 7:
Then 54 is not divisible by 7

## Divisibililty Check for 8

Take the last three digits
Are they divisible by 8

The last 2 digits of 54 are 54

Since 54 is not divisible by 8:
Then 54 is not divisible by 8

## Divisibililty Check for 9

Sum of digits divisible by 9

The sum of the digits for 54 is 5 + 4 = 9

Since 9 is divisible by 9:
Then 54 is divisible by 9

## Divisibililty Check for 10

Ends with a 0

The last digit of 54 is 4

Since 4 is not equal to 0:
Then 54 is not divisible by 10

## Divisibililty Check for 11

Σ odd digits - Σ even digits = 0
or 54 is a multiple of 11

54
5
Odd Sum = 5

54
4
Even Sum = 4

## Take the difference:

Δ = Odd Sum - Even Sum
Δ = 5 - 4
Δ = 1

## Divisibility Check:

Because Δ / 11 = 4.9090909090909:
Then 54 is NOT divisible by 11

### What is the Answer?

54 is divisible by
(2,3,6,9)

### How does the Divisibility Calculator work?

Free Divisibility Calculator - Shows the divisibility of a number by seeing if it is divisible by (2,3,4,5,6,7,8,9,10,11)
This calculator has 1 input.

### What 12 formulas are used for the Divisibility Calculator?

A number is divisible by 2 if the last digit ends in 0,2,4,6,8
A number is divisible by 3 if the sum of the digits ends is divisible by 3
A number is divisible by 4 if the last two digits are divisible by 4
A number is divisible by 5 if it ends with a 0 or 5
A number is divisible by 6 if it is divisible by both 2 and 3
Divisible by 7: we multiply each respective digit by 1,3,2,6,4,5 working backwards and repeat as necessary
A number is divisible by 8 if the last three digits are divisible by 8
A number is divisible by 9 if the sum of its digits is divisible by 9
A number is divisible by 10 if it ends with a 0
A number is divisible by 11 if the sum of the odd digits - the sum of the even digits = 0 or is a multiple of 11

For more math formulas, check out our Formula Dossier

### What 5 concepts are covered in the Divisibility Calculator?

divisibility
Determine factors (whole numbers) for a given number
division
separate a number into parts
divisor
a number by which another number is to be divided.
factor
a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
number
an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.