Remainder when 10^68 divided by 13:
Question:
Remainder when 10^68 divided by 13:
Remainder when 10^68 divided by 13:
Options
Answer: 9
Explanation:
We need the remainder when 10^68 is divided by 13. Since powers of 10 repeat every 6 modulo 13, we use: 10^6 ≡ 1 (mod 13) Now reduce the exponent: 68 mod 6 = 2 So, 10^68 ≡ 10^2 (mod 13) 10^2 = 100 100 divided by 13 gives remainder 9. Answer: 9
Explanation:
We need the remainder when 10^68 is divided by 13. Since powers of 10 repeat every 6 modulo 13, we use: 10^6 ≡ 1 (mod 13) Now reduce the exponent: 68 mod 6 = 2 So, 10^68 ≡ 10^2 (mod 13) 10^2 = 100 100 divided by 13 gives remainder 9. Answer: 9
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