Yes
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It is a prime.
No. The only prime number ending in five is five. All the others are divisible by five.
No. A Prime number is any number that can only be divided by one and itself. Thirty-five can be divided by five, seven, one and itself, so it is not a Prime number.
Just multiply the first five prime numbers! 2x3x5x7x11 = 6x35x11 = 210x11 = 2310. Any multiple of this number "has the first five prime numbers as factors", but 2310 is the smallest such number.
Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.