Question
Download Solution PDFWhat is the digit in the units place of the number 12602153?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number = 12602
Power = 153
Formula Used:
The digit in the unit's place of a number NP depends only on the unit's digit of N .
The unit's digit of NP follows a cyclic pattern depending on the unit's digit of N .
Calculation:
Unit digit of 12602 = 2
Patterns of powers of 2:
21 = 2 (Unit digit = 2)
22 = 4 (Unit digit = 4)
23 = 8 (Unit digit = 8)
24 = 16 (Unit digit = 6)
Pattern repeats: [2, 4, 8, 6]
Power = 153
153 ÷ 4 = 38 remainder 1
⇒ Unit digit corresponds to remainder 1
From the pattern, remainder 1 corresponds to 2.
The digit in the unit's place of 12602153 is 2.
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