Now compute their sum:
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- Solution: First, factor $ 180 = 2^2 \cdot 3^2 \cdot 5 $. To find only the odd divisors, we ignore the factor of 2 and consider only $ 3^2 \cdot 5 $.
- The odd divisors of 180 are the divisors of $ 3^2 \cdot 5 = 45 $.
- List all positive divisors of 45: $ 1, 3, 5, 9, 15, 45 $.
- + 3 + 5 + 9 + 15 + 45 = 78
- Thus, the sum of all positive odd divisors of 180 is $ \boxed{78} $.
- Question: What is the remainder when $ 11071 + 11073 + 11075 + 11077 $ is divided by $ 8 $?
