package com.yourself.yours;

import java.util.Scanner;

/**
***************************************************************
* @author cc Factors
* 分解质因数 如: 输入90 打印 90=2*3*3*5
* 分析: 对n进行分解质因数
* 1.设定最小的质数 k=2;
* 2.if k==n 说明n本身就是质因数 分解过程完成 ,直接打印
* 3.if n!=k打印k,并用n除以k的商,作为新的正整数n,重复执行第二步
* 4.if n%k != 0 则用k+1作为k的值,重复第二步
***************************************************************
*/
public class Factors {

public static void main(String[] args) {
// TODO Auto-generated method stub
Scanner s = new Scanner(System.in);
System.out.println("please input a number of positive integer: ");
int c = s.nextInt();
printFactors(c, makeFactors(c));;

}

private static StringBuffer makeFactors(int n) {
int k = 2;// set the small factors
StringBuffer strb = new StringBuffer();// save the everybody of the factors
while (k <= n) {
if (k == n) {
strb.append(n);
break;
} else if (n % k == 0) {
strb.append(k);
n = n / k;
} else {
k++;
}
}
return strb;
}
private static void printFactors(int clientNumber, StringBuffer factors){
for(int i = 0; i < factors.length()-1; i++){
if(i % 2 == 0){
factors.insert(i+1, "*");
}
}
System.out.println(clientNumber + "=" + factors);
}

}