Is 120 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 120 is 0
Since 0 is equal to 0,2,4,6,8:
then 120 is divisible by 2
Divisibililty Check for 3
Sum of the digits is divisible by 3
The sum of the digits for 120 is 1 + 2 + 0 = 3
Since 3 is divisible by 3:
Then 120 is divisible by 3
Divisibililty Check for 4
Take the last two digits
Are they divisible by 4?
The last 2 digits of 120 are 20
Since 20 is divisible by 4:
Then 120 is divisible by 4
Divisibililty Check for 5
Number ends with a 0 or 5
The last digit of 120 is 0
Since 0 is equal to 0 or 5:
Then 120 is divisible by 5
Divisibililty Check for 6
Divisible by both 2 and 3
Since 120 is divisible by 2 and 3:
Then 120 is divisible by 6
Divisibililty Check for 7
Multiply each respective digit by 1,3,2,6,4,5
Work backwards
Repeat as necessary
0(1) + 2(3) + 1(2) = 9
Since 9 is not divisible by 7:
Then 120 is not divisible by 7
Divisibililty Check for 8
Take the last three digits
Are they divisible by 8
The last 3 digits of 120 are 120
Since 120 is divisible by 8:
Then 120 is divisible by 8
Divisibililty Check for 9
Sum of digits divisible by 9
The sum of the digits for 120 is 1 + 2 + 0 = 3
Since 3 is not divisible by 9:
Then 120 is not divisible by 9
Divisibililty Check for 10
Ends with a 0
The last digit of 120 is 0
Since 0 is equal to 0:
Then 120 is divisible by 10
Divisibililty Check for 11
Σ odd digits - Σ even digits = 0
or 120 is a multiple of 11
Sum the odd digits:
120
1 + 0
Odd Sum = 1
Sum the even digits:
120
2
Even Sum = 2
Take the difference:
Δ = Odd Sum - Even Sum
Δ = 1 - 2
Δ = -1
Divisibility Check:
Because Δ / 11 = 10.909090909091 and Δ ≠ 0:
Then 120 is NOT divisible by 11
Final Answer
(2,3,4,5,6,8,10)
What is the Answer?
(2,3,4,5,6,8,10)
How does the Divisibility Calculator work?
This calculator has 1 input.
What 12 formulas are used for the Divisibility Calculator?
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
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.
