fn solve(target_primes: &Vec<usize>) -> usize {
    let mut x = String::new();
    std::io::stdin().read_line(&mut x).ok();
    let x: usize = x.trim().parse().unwrap();
    let n = target_primes.len();
    let mut cnts = vec![0usize; n];
    for i in 0..n {
        let mut target = x;
        while target % target_primes[i] == 0 {
            target /= target_primes[i];
            cnts[i] += 1;
        }
    }
    (0..n).map(|i| target_primes[i].pow(cnts[i] as u32 + 1)).min().unwrap() * x
}

fn main() {
    let mut n = String::new();
    std::io::stdin().read_line(&mut n).ok();
    let n: usize = n.trim().parse().unwrap();
    let mut result = Vec::with_capacity(n);
    let target_primes = vec![2,3,5,7,11,13,17,19,23,29,31,37];
    for _ in 0..n {
        result.push(solve(&target_primes));
    }
    for &v in result.iter() {
        println!("{}", v);
    }
}