#' Project Euler 3: Largest prime factor
#'
#' This is a solution to
#' \href{https://projecteuler.net/problem=3}{Euler problem 3}.
#'
#' @param x A number of interest to find the largest prime factor of.
#'
#' @examples
#' euler_3(600851475143)
#'
#' @export
euler_3 <- function(x) {
factors <- find_factors(x)
prime_factors <- NULL
for (i in seq_along(factors)) {
if (is_prime(factors[[i]][1])) {
prime_factors <- c(prime_factors, factors[[i]][1])
}
if (is_prime(factors[[i]][2])) {
prime_factors <- c(prime_factors, factors[[i]][2])
}
}
max(prime_factors)
}
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