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Divide 85 by 6 and note the remainder.

April 12, 2026Mathematics

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Answer

221_6

4 steps

1. ii) Change 85 base 10 to base 6.

Divide 85 by 6 and note the remainder.
$85 \div 6 = 14 \text{ remainder } 1$
Divide the quotient 14 by 6 and note the remainder.
$14 \div 6 = 2 \text{ remainder } 2$
Divide the quotient 2 by 6 and note the remainder.
$2 \div 6 = 0 \text{ remainder } 2$
Read the remainders from bottom to top.
The remainders are $2, 2, 1$ .

Therefore, $85_{10}$ in base 6 is:
$221_6$

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