What is the number of ones digit of the number when 2 is multiplied 2006 times ?
Answer
2 × 2 = 4 --> ones digit is 4.
2 × 2 × 2 = 8 --> ones digit is 8.
2 × 2 × 2 × 2 --> 6.
2 × 2 × 2 × 2 × 2 --->2.
As for ones digit, 2-4-8-6 is one cycle of the number.
Then 2006/4 = 501 remainder 2.
Remainder 2 indicates that the number of ones digit is to be 4 which is the second number of the last cycle when 2 is multiplied 2006 times.
4
Solution
Check the number of ones digit. 2 × 2 = 4 --> ones digit is 4.
2 × 2 × 2 = 8 --> ones digit is 8.
2 × 2 × 2 × 2 --> 6.
2 × 2 × 2 × 2 × 2 --->2.
As for ones digit, 2-4-8-6 is one cycle of the number.
Then 2006/4 = 501 remainder 2.
Remainder 2 indicates that the number of ones digit is to be 4 which is the second number of the last cycle when 2 is multiplied 2006 times.
