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Question

State whether 3*7*17*19+17 is a prime number or composite number

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Solution



Dear Student,

A composite number is an integer that is divisible without remainder by at least one positive integer other than itself and 1.And A number that is divisible only by itself and 1 is known as Prime number. Here,3×7×17×19 + 17= 17 (3×7×19 + 1)Let 3×7×19 + 1 = mSo, 3×7×17×19 + 17 = 17 mAs we can see that 3×7×17×19 + 17 has 3 factors : 1, 17 and mHence, it is a composite number.

Regards

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