Divisibility For 36 - MathCelebrity

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The last digit of 36 is 6The sum of the digits for 36 is 3 + 6 = 9The last 2 digits of 36 are 36The last digit of 36 is 6The last 2 digits of 36 are 36The sum of the digits for 36 is 3 + 6 = 9The last digit of 36 is 6

Answer

Success!36 is divisible by (2,3,4,6,9)

↓Steps Explained:↓

Show the divisibility for 36 in terms of:

2,3,4,5,6,7,8,9,10,11

Divisibililty Check for 2

A number is divisible by 2 if the last digit ends in 0,2,4,6,8

Since 6 is equal to 0,2,4,6,8, then 36 is divisible by 2

Divisibililty Check for 3

A number is divisible by 3 if the sum of it's digits ends is divisible by 3

Since 9 is divisible by 3, then 36 is divisible by 3

Divisibililty Check for 4

A number is divisible by 4 if the last two digits are divisible by 4

Since 36 is divisible by 4, then 36 is divisible by 4

Divisibililty Check for 5

A number is divisible by 5 if it ends with a 0 or 5

Since 6 is not equal to 0 or 5, then 36 is not divisible by 5

Divisibililty Check for 6

A number is divisible by 6 if it is divisible by both 2 and 3

Since 36 is divisible by 2 and 3, then 36 is divisible by 6

Divisibililty Check for 7

To see if 36 is divisible by 7, we multiply each respective digit by 1,3,2,6,4,5 working backwards and repeat as necessary

6(1) + 3(3) = 16

Since 9 is not divisible by 7, then 36 is not divisible by 7

Divisibililty Check for 8

A number is divisible by 8 if the last three digits are divisible by 8

Since 36 is not divisible by 8, then 36 is not divisible by 8

Divisibililty Check for 9

A number is divisible by 9 if the sum of it's digits is divisible by 9.

Since 9 is divisible by 9, then 36 is divisible by 9

Divisibililty Check for 10

A number is divisible by 10 if it ends with a 0

Since 6 is not equal to 0, then 36 is not divisible by 10

Divisibililty Check for 11

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

Sum the odd digits:

36

3

Odd Sum = 3

Sum the even digits:

36

6

Even Sum = 6

Take the difference of the odd sum and the even sum:

Δ = Odd Sum - Even Sum

Δ = 3 - 6

Δ = -3

Divisibility Check:

Because Δ / 11 is not an integer = 3.2727272727273, then 36 is NOT divisible by 11

Final Answer

36 is divisible by (2,3,4,6,9)Take the Quiz Switch to Chat ModeRelated Calculators: Eulers Totient (φ) |