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No.

A number that ends in 5 is divisible by 5, so it can't be prime unless it is 5 itself.

Also, 7+6+5 = 18. Since 18 is divisible by 3 and by 9, 765 is also divisible by 3 and 9. It is easily seen that 765 factorises to 3 x 3 x 5 x17.

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Q: Is 765 a prime number
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