The factorial of a natural number is defined as the product of itself and all other natural numbers less than it. I found this page describing a number of algorithms for computing the factorial. Prime-factoring. Pseudocode for Factorial of a number : Step 1: Declare N and F as integer variable. ‘N’ multiplied by ‘N-1’ multiplied by ‘N-2’ and so on till ‘1’. Step 4: If yes then, F=F*N Step 5: Decrease the value of N by 1 . The algorithm SplitRecursive, because it is simple and the fastest algorithm which does not use prime factorization. Please refer factorial of large number for a solution that works for large numbers.. There are five algorithms which everyone who wants to compute the factorial n! When experimenting with factorial time algorithms, you will quickly discover that your computer is unable to compute more than the first dozen or so cases in any reasonable amount of time. Start step 2. Challenge: Iterative factorial. Efficient Factorials Calculation ! Please write comments if you find any bug in the above code/algorithm, or find other ways to solve the same problem. So, 8! Step 6: Repeat step 4 and 5 until N=0. What is Factorial value of a number Factorial for any number N is equivalent to N * N-1 * N-2…1. Challenge: is a string a palindrome? Khan Academy is a 501(c)(3) nonprofit organization. The above solutions cause overflow for small numbers. Step 2: Initialize F=1. Step 7: Now print the value of F. The value of F will be the factorial of N(number). Properties of recursive algorithms. The direct representation of this definition is presented below in the form of a flowchart iterative algorithm to compute the factorial function values. Repeat step 4 through 6 until i=n step 5. fact=fact*i step 6. i=i+1 step 7. Implementation of the algorithm in:Pascal, C++, Java, Python, JavaScript. If not, then call the recursive factorial algorithm with N - 1, multiply the result by N and return that value. Recursive nature of the factorial algorithm To understand how factorial calculation is recursive in nature, let us first define a function factorial such that Computing powers of a number. A special mathematical case, by definition, is that 0! = 1.2.3...n should know. Using recursion to determine whether a word is a palindrome. [Initialize] i=1, fact=1 step 4. I.e. Description of the algorithm: Start - our algorithm starts here. Read the number n step 3. Our mission is to provide a free, world-class education to anyone, anywhere. Optimization. Factorial. Print fact step 8. = 8*7*6*5*4*3*2*1. The algorithm calls itself and some mechanism is necessary for keeping track of the state of the computation . Step 2: Enter the value of N. Step 3: Check whether N>0, if not then F=1. Many ways. = 1. Algorithm for calculate factorial value of a number: [algorithm to calculate the factorial of a number] step 1. 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