Table of Contents
What is the last digit of 2?
Powers of 2 (starting from 2^1) are 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, … We can notice that the last digits are 2, 4, 8, 6, 2, 4, 8, 6, 2, 4, 8, … 1) We compute rem = n \% 4. Note that the last rem will have a value from 0 to 3.
What are the last two digit of 2 1000?
Carrying out the 5th powering operation 200 times gives 2^1000 and the last digit remains as 2.
What is the last digit of the number 7 43?
Notice that the last two digits are following a simple repeating pattern: 07, 49, 43, 01….Solutions.
| Power of 7 | Result | Last two digits |
|---|---|---|
| 7^2 | 49 | 49 |
| 7^3 | 343 | 43 |
| 7^4 | 2401 | 01 |
| 7^5 | 16,807 | 07 |
What are the last two digits of 21 72?
Now 33 4 ends in 21 (33 4 = 33 2 × 33 2 = 1089 × 1089 = xxxxx21) therefore, we need to find the last two digits of 21 72. By the previous method, the last two digits of 21 72 = 41 (tens digit = 2 × 2 = 4, unit digit = 1) So here’s the rule for finding the last two digits of numbers ending in 3, 7 and 9:
How do you find the last 2 digit of a number?
For finding the last digit of a number ends with 2, 4, 6, 8; We use number 76 which is a type of magic number because its square, cube and etc contain last 2 digit numbers as itself i.e 76. if (2^10)^even power then it always return 76 .
What are the last two non zero digits of 165^222?
Example3: Find last 2 digit of 165^222. So, the last two non zero digits of 165^222 are 25. Example4: Find last 2 digit of 165^221. So, the last two non zero digits of 165^221 are 75. For finding the last two digit of a number, when the number ends with 0 then we have to check next digit and according to the digit calculate the last digit.
How do you find the last two digits of 54380?
Find the last two digits of 54380. 54 380 = (2 × 3 3) 380 = 2 380 × 3 1140 = (2 10) 38 × (3 4) 285 = 76 × 81 285 = 76 × 01 = 76. Find the last two digits of 56283. 56 283 = (2 3 × 7) 283 = 2 849 × 7 283 = (2 10) 84 × 2 9 × (7 4) 70 × 7 3 = 76 × 12 × (01) 70 × 43 = 16 Find the last two digits of 78379.