Q. 17×16×15×14×13×12×11+5 is a composite number. Explain why?
Identify Integers: Question_prompt: Is 17×16×15×14×13×12×11+5 a composite number?
Confirm Integer Result: First, notice that 17, 16, 15, 14, 13, 12, and 11 are all integers.
Composite Number Definition: Since we're multiplying several integers together, the result will also be an integer.
Product of Integers: Adding 5 to the product of these integers will still result in an integer.
Composite Number Status: A composite number is a positive integer that has at least one positive divisor other than 1 and itself.
Addition of 5: The product of any set of integers greater than one will always have divisors other than one and itself, because it's the product of multiple numbers.
Conclusion: Therefore, 17∗16∗15∗14∗13∗12∗11 is already a composite number because it has more divisors than just one and itself.
Conclusion: Therefore, 17×16×15×14×13×12×11 is already a composite number because it has more divisors than just one and itself. Adding 5 to a composite number does not change its status as a composite number.
Conclusion: Therefore, 17×16×15×14×13×12×11 is already a composite number because it has more divisors than just one and itself. Adding 5 to a composite number does not change its status as a composite number. Thus, 17×16×15×14×13×12×11+5 is also a composite number.
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