Jack was enraptured as Nancy navigated through the intricate world of Number Theory with the grace of a skilled storyteller.
"Number Theory," Nancy began, "is akin to exploring a vast labyrinth of numerical relationships, a grand symphony orchestrating the dance between integers."
"Let's delve into the essence," she continued. "A prime number, akin to a solitary star in the night sky, stands alone among integers, divisible solely by itself and 1."
"On the other hand," she elaborated, "composite numbers, akin to clusters of stars, interweave with factors beyond themselves and 1."
"Consider the relationship between multiples and factors," Nancy added. "An integer a, akin to a mosaic, can be built by combining its components, each factor akin to a fundamental block shaping its existence."
"Prime factorization," she continued, "is akin to decoding the enigmatic essence of a number, dissecting it into its primal components. Just as colors blend to form a painting, primes merge to compose an integer."
"In essence," Nancy summarized, "each number, a unique tapestry, weaves itself from the fabric of primes, akin to a complex musical composition orchestrating harmony from its individual notes."
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