use std::io::*;

fn phi(n: usize) -> usize {
    let mut res = n;
    let mut i = 2;
    let mut m = n;
    while i * i <= m {
        if m % i == 0 {
            res -= res / i;
            while m % i == 0 {
                m /= i;
            }
        }
        i += 1;
    }
    if m != 1 {
        res -= res / m;
    }
    res
}

fn pow(x: usize, mut e: usize, m: usize) -> usize {
    let mut res = 1;
    let mut mul = x;
    while e > 0 {
        if e % 2 == 1 {
            res = res * mul % m;
        }
        mul = mul * mul % m;
        e >>= 1;
    }
    res
}

fn main() {
    let mut s: String = String::new();
    std::io::stdin().read_to_string(&mut s).ok();
    let mut itr = s.trim().split_whitespace();
    let t: usize = itr.next().unwrap().parse().unwrap();
    for _ in 0..t {
        let mut n: usize = itr.next().unwrap().parse().unwrap();
        while n % 2 == 0 {
            n /= 2;
        }
        while n % 5 == 0 {
            n /= 5;
        }
        if n == 1 {
            println!("1");
            continue;
        }
        let p = phi(n);
        let mut i = 1;
        let mut ans = 1usize << 60;
        while i * i <= p {
            if p % i == 0 {
                if pow(10, i, n) == 1 {
                    ans = std::cmp::min(ans, i);
                }
                if pow(10, p / i, n) == 1 {
                    ans = std::cmp::min(ans, p / i);
                }
            }
            i += 1;
        }
        println!("{}", ans);
    }
}