Question: What is the sum of all positive divisors of $ 180 $ that are multiples of 5?

Fri, 01 May 2026 10:24:49 +0000

**What is the sum of all positive divisors of $ 180 $ that are multiples of 5?**
A growing number of curious users in the US are exploring divisor-based math to understand budgeting tools, investment patterns, and digital finance trends—this question reflects that interest. This number crunch isn’t just academic; it connects to real-world applications like financial planning, tech algorithms, and educational content around divisibility. But what exactly does this sum represent, and how can insight into it add value? **Why This Question Is Gaining Attention in the US**
The rise in digital literacy and interest in personal finance has sparked demand for clear, actionable insights into everyday numbers. Divisors may seem abstract, but their role in financial modeling, data sorting, and automation makes them increasingly relevant. Users are drawn to breaking down numbers with purpose—seeking patterns that explain financial behavior or algorithmic efficiency. The specificity of “multiples of 5” signals a focused inquiry, appealing to those interested in precision and practical math beyond casual scrounging. In a market where trust in information drives decisions, a stable, verifiable sum like this becomes a keepers-of-trust point. **Understanding the Divisors: A Clear Breakdown**
To calculate the sum of all positive divisors of $ 180 $ that are multiples of $ 5 $, begin by finding the full list of positive divisors of $ 180 $. Prime factorizing $ 180 = 2^2 \cdot 3^2 \cdot 5^1$, its divisors are all numbers formed from $ 2^a \cdot 3^b \cdot 5^c