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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.
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.
What is a factorial in mathematical terms?
The factorial of a number is the product of all the whole numbers, except zero, that are less than or equal to that number.
What is the factorial of any number?
a factorial number is a number multiplied by all the positive integers i.e. 4!=1x2x3x4=24 pi!=0.14x1.14x2.14x3.14 0!=1
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
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.
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.
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.
What is a factorial in mathematical terms?
The factorial of a number is the product of all the whole numbers, except zero, that are less than or equal to that number.
