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Home » Alternatively, compute modulo 9 step-by-step: - Professionaloutdoormedia

Alternatively, compute modulo 9 step-by-step: - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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What is the sum of all the even divisors of 60?
First, find the prime factorization of 60:
= 2^2 \times 3^1 \times 5^1
The divisors of 60 are of the form \( 2^a \cdot 3^b \cdot 5^c \) where...
To find the sum of even divisors, note that an even divisor must inclu...
\( a = 1 \) or \( a = 2 \)
\( b = 0 \) or \( b = 1 \)
\( c = 0 \) or \( c = 1 \)
We compute the sum:
\sum_{\substack{a=1\\b=0\\c=0}}^{2,1,1} 2^a \cdot 3^b \cdot 5^c

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