Question
Download Solution PDFFind the remainder when 2722 divided by 729
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Find the remainder when 2722 is divided by 729.
Formula used:
If a number is raised to a power and divided by another number, modular arithmetic can be used: \((a^b \mod n)\).
Calculations:
2722 mod 729
729 = 272
⇒ We simplify modulo 729 in terms of powers of 27.
⇒ 2722 = (272)11 × 270
⇒ (272) mod 729 = 0 (since 272 = 729)
⇒ Therefore, (2722 mod 729) = 0
∴ The correct answer is option (4).
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