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Suppose you're talking about N factorial. For an example, we'll let N be 20.
For each Prime number p, repeatedly divide N by p, discarding the remainder. Add up the answers.
20/2 = 10, 10/2 = 5, 5/2 = 2, 2/2 = 1. 10+5+2+1 = 18.
20/3 = 6, 6/3 = 2. 6+2 = 8.
20/5 = 4
20/7 = 2
20/11 = 1
20/13 = 1
20/17 = 1
20/19 = 1
Now add 1 to each of these results: 19,9,5,3,2,2,2,2.
Now multiply these numbers. 19x9x5x3x2x2x2x2 = 41040.
This is how many factors the factorial has. 20! has 41040 factors. (This includes both 1 and the factorial itself. Subtract 1 if you're only counting the proper factors.)
The proof is left as an exercise for the reader.
What else can I help you with?
How many zeros are possible factorial 10 to the power factorial 10?
To calculate the number of zeros in a factorial number, we need to determine the number of factors of 5 in the factorial. In this case, we are looking at 10 to the power of 10 factorial. The number of factors of 5 in 10! is 2 (from 5 and 10). Therefore, the number of zeros in 10 to the power of 10 factorial would be 2.
How do you determine whether a given number is a factorial?
To determine if a given number is a factorial, you can check if there exists a non-negative integer ( n ) such that ( n! ) equals that number. Start with ( n = 0 ) and compute factorials incrementally (0! = 1, 1! = 1, 2! = 2, etc.) until the computed factorial exceeds the given number. If you find a match during this process, then the number is a factorial; otherwise, it is not. Additionally, you can utilize the property that factorials grow very rapidly, which can help limit the number of calculations needed.
What is the flowchart and pseudocode for a program that accept and displays the factorial of a number?
A flowchart for a program that accepts and displays the factorial of a number would include the following steps: Start, Input the number, Initialize a variable for the factorial, Use a loop to calculate the factorial by multiplying the variable by each integer up to the number, Output the result, and End. Pseudocode for the same program would look like this: START INPUT number factorial = 1 FOR i FROM 1 TO number DO factorial = factorial * i END FOR OUTPUT factorial END
A program for simple factorial in prolog?
In Prolog, a simple factorial program can be defined using recursion. Here's a basic implementation: factorial(0, 1). % Base case: factorial of 0 is 1 factorial(N, Result) :- N > 0, N1 is N - 1, factorial(N1, Result1), Result is N * Result1. % Recursive case You can query the factorial of a number by calling factorial(N, Result). where N is the number you want to compute the factorial for.
What composite number has the most factors?
It is impossible to determine what number has the most factors because there are an infinite number of numbers.
How many zeros are possible factorial 10 to the power factorial 10?
To calculate the number of zeros in a factorial number, we need to determine the number of factors of 5 in the factorial. In this case, we are looking at 10 to the power of 10 factorial. The number of factors of 5 in 10! is 2 (from 5 and 10). Therefore, the number of zeros in 10 to the power of 10 factorial would be 2.
What are the factors of 5 factorial?
1,2,3,4,5
What is the flowchart and pseudocode for a program that accept and displays the factorial of a number?
A flowchart for a program that accepts and displays the factorial of a number would include the following steps: Start, Input the number, Initialize a variable for the factorial, Use a loop to calculate the factorial by multiplying the variable by each integer up to the number, Output the result, and End. Pseudocode for the same program would look like this: START INPUT number factorial = 1 FOR i FROM 1 TO number DO factorial = factorial * i END FOR OUTPUT factorial END
How many factors does ten factorial have?
270
Write a recursive procedure to compute the factorial of a number?
#include <iostream> using namespace std; int main() { int i, number=0, factorial=1; // User input must be an integer number between 1 and 10 while(number<1 number>10) { cout << "Enter integer number (1-10) = "; cin >> number; } // Calculate the factorial with a FOR loop for(i=1; i<=number; i++) { factorial = factorial*i; } // Output result cout << "Factorial = " << factorial << endl;
What is the factorial of 569?
The factorial of 569 is 569 * 568 * 567 * ... * 3 * 2 * 1. (That is a very, very large number.) If you mean, however, "what are the factors of 569?", the answer is 1 and 569, because 569 is prime.
Write a java program to find the factorial of a given number?
Here's a simple Java program to find the factorial of a given number using a recursive method: import java.util.Scanner; public class Factorial { public static void main(String[] args) { Scanner scanner = new Scanner(System.in); System.out.print("Enter a number: "); int number = scanner.nextInt(); System.out.println("Factorial of " + number + " is " + factorial(number)); } static int factorial(int n) { return (n == 0) ? 1 : n * factorial(n - 1); } } This program prompts the user for a number and calculates its factorial recursively.
What is the time complexity, in terms of Big O notation, for calculating the factorial of a number?
The time complexity for calculating the factorial of a number is O(n), where n is the number for which the factorial is being calculated.
Programming to calculate a factorial number?
double factorial(double N){double total = 1;while (N > 1){total *= N;N--;}return total; // We are returning the value in variable title total//return factorial;}int main(){double myNumber = 0;cout > myNumber;cout
Write the Pseudocode to find the factorial of a number?
Pseudo code+factorial
A program for simple factorial in prolog?
In Prolog, a simple factorial program can be defined using recursion. Here's a basic implementation: factorial(0, 1). % Base case: factorial of 0 is 1 factorial(N, Result) :- N > 0, N1 is N - 1, factorial(N1, Result1), Result is N * Result1. % Recursive case You can query the factorial of a number by calling factorial(N, Result). where N is the number you want to compute the factorial for.
What is 435436543647654 factorial?
A big number.
