How to find unit digit of a number

How to find unit digit of a number

Check out the cycle of number given below and try to strike a coherency.

Unit digit of a Number ending with digit 1 will always end with 0.

Unit digit of a Number ending with digit 1 will always end with 1, degree of the number does not matter i.e. Unit digit of (81)23445  =     1

Unit digit of a Number ending with digit 2 will always move in a cycle of 2, 4, 8, 6. i.e  21 = 2 22 = 4 23 = 8 24 = 16 For Example (22)46 = 46/4 as cycle of 2 revolves with above mentioned four digits. 22 x 22 will end with 4 and 22 x 4 will end with 8, so we don’t need to multiply digits again and again we just have to divide the degree of number with 4. So we will divide 46/4 and get 2 as a remainder then we will check the second digit of above cycle which is 4. So the answer will be 4.

Unit digit of a Number ending with digit 3 will always move in a cycle of 3, 9, 7, 1.

Unit digit of a Number ending with digit 4 will always move in a cycle of 4, 6.

Unit digit of a Number ending with digit 5 will always have 5.

Unit digit of a Number ending with digit 6 will always have 6.

Unit digit of a Number ending with digit 7 will always move in a cycle of 7, 9, 3,1.

Unit digit of a Number ending with digit 8 will always move in a cycle of 8, 4, 2, 6.

Unit digit of a Number ending with digit 9 will always move in a cycle of 9, 1.