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17×16×15×14×13×12×11+517\times16\times15\times14\times13\times12\times11+5 is a composite number. Explain why?

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Q. 17×16×15×14×13×12×11+517\times16\times15\times14\times13\times12\times11+5 is a composite number. Explain why?
  1. Identify Integers: Question_prompt: Is 17×16×15×14×13×12×11+517\times16\times15\times14\times13\times12\times11+5 a composite number?
  2. Confirm Integer Result: First, notice that 1717, 1616, 1515, 1414, 1313, 1212, and 1111 are all integers.
  3. Composite Number Definition: Since we're multiplying several integers together, the result will also be an integer.
  4. Product of Integers: Adding 55 to the product of these integers will still result in an integer.
  5. Composite Number Status: A composite number is a positive integer that has at least one positive divisor other than 11 and itself.
  6. Addition of 55: 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.
  7. Conclusion: Therefore, 1716151413121117*16*15*14*13*12*11 is already a composite number because it has more divisors than just one and itself.
  8. Conclusion: Therefore, 17×16×15×14×13×12×1117\times16\times15\times14\times13\times12\times11 is already a composite number because it has more divisors than just one and itself. Adding 55 to a composite number does not change its status as a composite number.
  9. Conclusion: Therefore, 17×16×15×14×13×12×1117\times16\times15\times14\times13\times12\times11 is already a composite number because it has more divisors than just one and itself. Adding 55 to a composite number does not change its status as a composite number. Thus, 17×16×15×14×13×12×11+517\times16\times15\times14\times13\times12\times11+5 is also a composite number.

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