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
Sum the odd digits:
54
5
Odd Sum = 5
Sum the even digits:
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 and Δ ≠ 0:
Then 54 is NOT divisible by 11
Final Answer
(2,3,6,9)
