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C++ Program

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I know that the factorial of an integer n, written n!, is basically the product of consecutive integers 1 through n. Like, if I had 8, the factorial should be calculated 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320. How should I go about putting this program into a C++? I need a prompt to ask for and integer. I have written what I think it should look like, but need some help.

Thanks

#include<stdio.h>

int main()
{

int number,digit,factor=0;

printf("n Please enter a number:");
scanf("%d",&number);

while(number>0)
{
factor=number%10;
factor=factorxdigit;
number=number/10;
}

printf("The factor of digits is:%d",factor);
}

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