Solution: To find the smallest prime factor of 77, we test divisibility by the smallest prime numbers:

Mon, 04 May 2026 08:28:09 +0000

Finding the Smallest Prime Factor of 77: A Step-by-Step Solution When tasked with finding the smallest prime factor of a number, a systematic approach using divisibility rules makes the process efficient and straightforward. One classic example is determining the smallest prime factor of 77 by testing divisibility by the smallest prime numbers. ### Why Test the Smallest Primes First? Prime factors are the building blocks of a number—the smallest prime factor is always among the earliest primes trial, as smaller divisors simplify larger ones. By starting with the smallest prime, 2, and moving upward (3, 5, 7, etc.), you quickly identify the first valid prime division without unnecessary complexity.