rust prime factorization
Prime Factorization in Rust
To perform prime factorization in Rust, you can use various algorithms. One common algorithm is the trial division method, which involves dividing the number by prime numbers starting from 2 until the number is fully factored. Here's an example implementation:
fn prime_factorization(n: u64) -> Vec<u64> {
let mut factors = Vec::new();
let mut num = n;
let mut divisor = 2;
while num > 1 {
if num % divisor == 0 {
factors.push(divisor);
num /= divisor;
} else {
divisor += 1;
}
}
factors
}
fn main() {
let number = 84;
let factors = prime_factorization(number);
println!("Prime factors of {}: {:?}", number, factors);
}
In this example, the prime_factorization
function takes an unsigned 64-bit integer n
as input and returns a vector factors
containing the prime factors of n
. The function uses a while
loop to repeatedly divide num
by divisor
until num
becomes 1. If divisor
is a factor of num
, it is added to the factors
vector, and num
is divided by divisor
. If divisor
is not a factor, it is incremented by 1. The process continues until num
becomes 1, indicating that all prime factors have been found.
In the main
function, an example number 84
is passed to the prime_factorization
function, and the resulting prime factors are printed.
Please note that this is just one implementation of prime factorization in Rust, and there are other algorithms and optimizations available.