[INST] Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers./n [/INST]  ###Response: To find the smallest four-digit number that is divisible by each of the four smallest prime numbers, we can calculate the least common multiple (LCM) of 2, 3, 5, and 7. The LCM of these primes is 210. We want to find the smallest value of n that makes 210n greater than or equal to 1000. Solving this inequality, we get n greater than or equal to 4 16/21. Therefore, the smallest multiple of 210 that is a four-digit number is 210 multiplied by 5, which equals 1050.