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In Mathematics / Middle School | 2014-09-14

How do you know that the product of any two numbers greater than 1 must be a composite number?

Asked by Kt019

Answer (3)

Because each of the two numbers is a factor of the product, and since the product has at least those two factors, it's a composite number by definition.

Answered by AL2006 | 2024-06-10

The statement that the product of any two numbers greater than 1 is always a composite number is not always true. Some products could be prime numbers, depending on the factors involved. A composite number has more than two factors, while a prime number only has two: 1 and itself. ;

Answered by ayushmauryase131se | 2024-06-18

The product of any two numbers greater than 1 is not guaranteed to always be composite; while most combinations result in composite products, especially involving primes, exceptions can be found depending on the factors used. Therefore, it is essential to analyze individual cases. Overall, context matters in determining the nature of the product.
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Answered by ayushmauryase131se | 2024-09-04