# Shortcuts for number divisibility check

#### Shortcuts for number divisibility check

1. A number is divisible by 2 if its unit’s digit is any of 0, 2, 4, 6, 8.
2. A number is divisible by 3 if the sum of its digits is divisible by 3.
3. A number is divisible by 4 if the number formed by the last two digits is divisible by 4.
4. A number is divisible by 5 if its unit’s digit is either 0 or 5.
5. A number is divisible by 6 if it is divisible by both 2 and 3.
6. A number is divisible by 8 if the number formed by the last three digits of the given number is divisible by 8.
7. A number is divisible by 9 if the sum of its digits is divisible by 9.
8. A number is divisible by 10 if it ends with 0.
9. A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of its digits at even places is either 0 or a number divisible by 11.
10. A number is divisible by 12 if it is divisible by both 4 and 3.
11. A number is divisible by 14 if it is divisible by 2 as well as 7.
12. Two numbers are said to be co-prime if their H.C.F. is 1. To find if a number, say y is divisible by x, find m and n such that m * n = x and m and n are co-prime numbers. If y is divisible by both m and n then it is divisible by x.