Pregunta
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1.2 What is a composite number?

Ask by George Kelley. in South Africa
Feb 18,2025

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A composite number is a positive integer that has more than two divisors. For example, 4 and 6 are composite because they can be divided by numbers other than 1 and themselves.

Solución

A composite number is a positive integer that has at least one positive divisor other than one and itself. In other words, a composite number can be divided evenly by numbers other than 1 and the number itself. This means that composite numbers have more than two distinct positive divisors. For example: - The number 4 is composite because it can be divided by 1, 2, and 4. - The number 6 is composite because it can be divided by 1, 2, 3, and 6. - The number 7 is not composite; it is a prime number because its only divisors are 1 and 7. In summary, composite numbers are those integers greater than 1 that are not prime, meaning they can be formed by multiplying two smaller positive integers.

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The Deep Dive

A composite number is a positive integer that has more than two distinct positive divisors, which means it can be divided evenly by numbers other than just 1 and itself. For example, the number 6 is composite because it can be divided by 1, 2, 3, and 6. In contrast, prime numbers like 2 or 3 can only be divided by 1 and themselves, making them the opposite of composite numbers. In the world of mathematics, composite numbers play a crucial role in number theory and factorization. They can be broken down into their prime factors, which are the prime numbers that multiply together to make the composite number. For instance, the number 12 can be factored into 2 x 2 x 3, showcasing the fascinating interconnections between numbers!

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