Factorisation de rust prime

fn main() {
    let mut num: i64 = 600851475143;

    let mut prime_factors: Vec<i64> = Vec::new();

    while num % 2 == 0 {
        prime_factors.push(2);
        num /= 2;
    }
    
    for i in 3..(num as f64).sqrt() as i64 + 1 {
        while num % i == 0 {
            prime_factors.push(i);
            num /= i;
        }
    }

    if num > 2 {
        prime_factors.push(num);
    }

    prime_factors.sort();
    prime_factors.reverse();

    println!("{}", prime_factors[0]);
}
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