# Tag Archives: factorial

## Expressing factorial n as sum of consecutive numbers

Given two numbers N and M. Find the number of ways in which factorial N can be expressed as a sum of two or more… Read More »

## Power of a prime number ‘r’ in n!

Given an integer n, find the power of a given prime number(r) in n! Examples : Input : n = 6 r = 3 Factorial… Read More »

## Sum of largest divisible powers of p (a prime number) in a range

Given a range [L, R], and a prime number P. We are required to find the sum of the highest power of P in all… Read More »

## Count maximum-length palindromes in a String

Given a string, count how many maximum-length palindromes are present.(It need not be a substring) Examples: Input : str = “ababa” Output: 2 Explanation :… Read More »

## Lexicographic rank of a string with duplicate characters

Given a string s that may have duplicate characters. Find out the lexicographic rank of s. s may consist lower as well as upper case… Read More »

## Find maximum power of a number that divides a factorial

Given two numbers, fact and n, find the largest power of n that divides fact! (Factorial of fact). Examples: Input : fact = 5, n… Read More »

## Trailing number of 0s in product of two factorials

Given two integer N or M find the number of zero’s trailing in product of factorials (N!*M!)? Examples: Input : N = 4, M =… Read More »

## Factorial of each element in Fibonacci series

Given the upper limit limit, print factorials of all Fibonacci Numbers smaller than limit. Examples : Input : limit = 20 Output : 1 1… Read More »

## Program to get the Sum of series: 1 – x^2/2! + x^4/4! -…. upto nth term

This is a mathematical series program where a user must enter the number of terms up to which the sum of the series is to… Read More »

## Numbers whose factorials end with n zeros

Given an integer n, we need to find the number of positive integers whose factorial ends with n zeros. Examples: Input : n = 1… Read More »

## Print factorials of a range in right aligned format

Given two number m and n, the task is to find factorial of all number including m and n and then print below format. Examples:… Read More »

## GCD of factorials of two numbers

Given two numbers m and n. Find the GCD of the their factorial. Examples : Input : n = 3, m = 4 Output :… Read More »

## Program to check for Peterson number

A number is said to be a Peterson number if the sum of factorials of each digit of the number is equal to the number… Read More »

## Largest power of k in n! (factorial) where k may not be prime

Given two numbers k and n, find the largest power of k that divides n! Constraints: K > 1 Examples: Input : n = 7,… Read More »

## One line function for factorial of a number

Factorial of a non-negative integer, is multiplication of all integers smaller than or equal to n. Example : Factorial of 6 is 6 * 5… Read More »