DECIMALS

                                                        DIVISIBILTY TEST

Number System in Quantitative Aptitude – Divisibility Test

Know the shortcuts for Number System Divisibility Test by scrolling down.

Divisible by 2 – If a number ends with 0,2,4,6,8 then the number is divisible by 2. Example – 254, 326, 3548, 4210. All number ends with 4,6,8,0 so these numbers are divisible by 2.

Divisible by 3 – If sum of all the digits of a number is divisible by 3, then the number itself, is also divisible by 3. Example – 375,4251,78123. Here we are taking another example of 549 – 5+4+9 = 18 which is divisible by 3, so 549 is also divisible by 3.

Divisible by 4 – If the last two digits of any number is divisible by 4, then the number is also divisible by 4. Example – 2348.Here last two digits 48 are divisible by 4, so 2348 is also divisible by 4.

Divisible by 5 – If a number ends with 0 or 5, then it is divisible by 5. Example – 340, 625.

Divisible by 6 – If a number is divisible by both 2 and 3, then it is divisible by 6 as well. Example – 4536. Here the number ends on 6 which is divisible by 2 and the sum of digits (4+5+3+6 = 18) which is divisible by 3 also, so the number 4536 is divisible by 6.

Divisible by 8 – If the last three digits of a number can be divided by 8, then the number is divisible by 8. Example – 746848. Here last 3 digits 848 are divided by 8, hence the number 746848 is divisible by 8.

Divisible by 10 – If a number ends with 0, then it is divisible by 10. Example – 120, 330, 500.

Divisible by 11 – If (sum of its digit in odd places) is subtracted by (sum of its digits in even places) = 0 or multiple of 11, then the number is divisible by 11. Example – 39798846Sum of digits at odd places = 3+7+8+4 = 22 Sum of digits at even places = 9+9+9+6 = 33Now -> 33-22 = 11 which is multiple of 11 so number is divisible.

Divisible by 12 – If a number is divisible by 3 and 4 both, then it will also be divisible by 12 as well. Example – 4848 is divisible by 3 and 4 both, so it will be divisible by 12 also.

Divisible by 14 – If a number is divisible by 2 and 7 both, then it will also be divisible by 14 as well. Example – 4242 is divisible by 2 and 7 both, so it will be divisible by 14 also.

Divisible by 15 – If a number is divisible by 3 and 5 both, then it will also be divisible by 15 as well. Example – 4545 is divisible by 3 and 5 both, so it will be divisible by 15 also.

Divisible by 16 – A number is divisible by 16, if the number formed by the last4 digits is divisible by 16. Example – 7957536 Last four digits 7536 are divisible by 16.

Divisible by 24 – If a number is divisible by 3 and 8 both, then it will also be divisible by 14 as well. Example – 4848 is divisible by 3 and 8 both, so it will be divisible by 24 also.

Divisible by 40 – If a number is divisible by 5 and 8 both, then it will also be divisible by 40 as well. Example – 8080 is divisible by 5 and 8 both, so it will be divisible by 40 also.

Divisible by 80 – If a number is divisible by 5 and 16 both, then it will also be divisible by 80 as well. Example – 80160 is divisible by 5 and 16 both, so it will be divisible by 80 also.