Divisibility for 120

Publish date: 2024-07-06
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Enter Number

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

120 is divisible by
(2,3,4,5,6,8,10)


What is the Answer?

120 is divisible by
(2,3,4,5,6,8,10)

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?

divisibilityDetermine factors (whole numbers) for a given numberdivisionseparate a number into partsdivisora number by which another number is to be divided.factora 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.numberan 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.

Example calculations for the Divisibility Calculator

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