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Nội dung chính- Method 1: Using iterationMethod 2: Optimized
CodeMethod 3: Optimized Code with sorted resultMethod 4: Another Optimized CodeRecommended PagesHow do you find the factors of a number in PHP?How do you count the number of factors?How do you find the factors of a number in CPP?How do you count the number of factors in Java?
In this article, we are going to learn how to create a function in PHP that will help us calculate factors of any given number?
Submitted by Kongnyu Carine, on January 10, 2022
For instance, if we have to list the factors of a number y. Then, we have to look for all possible numbers within the range 0 to the number y (with 0 exclusive because we do not divide a number by 0) that gives no remainder when it divides y.
Example:
Input 6 Output 1,2,3,4,5,6,.Let's Write out a PHP function to do this for us:
Program/Source Code:
Output:
Zero has no factors The factors of 50 are 1,2,5,10,25,50,PHP Basic Programs »
Objective: Write a PHP program to find all distinct factors (divisors) of a given natural number. The divisors of few numbers are given below:
Number: 10 Divisors: 1 2 5 10 Number: 15 Divisors: 1 3 5 15 Number: 100 Divisors: 1 2 4 5 10 20 25 50 100Method 1: Using iteration
One of the basic approach is to iterate from 1 to n and in each iteration check whether the number divides n. If it divides then print it.
The above code will give the following output:
Divisors of 10 are: 1 2 5 10 Divisors of 50 are: 1 2 5 10 25 50 Divisors of 100 are: 1 2 4 5 10 20 25 50 100Method 2: Optimized Code
Instead of checking the divisibility of the given number from 1 to n, it is checked till square root of n. For a factor larger than square root of n, there must the a smaller factor which is already checked in the range of 1 to square root of n.
The above code will give the following output:
Divisors of 10 are: 1 10 2 5 Divisors of 50 are: 1 50 2 25 5 10 Divisors of 100 are: 1 100 2 50 4 25 5 20 10Method 3: Optimized Code with sorted result
In the previous method, results are produced in a irregular fashion (printed in pairs - small number and large number). The result can be sorted by storing the larger number and print them later on. Consider the example below:
= 0; $i--) echo $arr[$i]." "; echo "n"; printDivisors(10); printDivisors(50); printDivisors(100); ?>The above code will give the following output:
Divisors of 10 are: 1 2 5 10 Divisors of 50 are: 1 2 5 10 25 50 Divisors of 100 are: 1 2 4 5 10 20 25 50 100Method 4: Another Optimized Code
To produce the result in sorted order, we can iterate from 1 to square root of n and printing the number which divides n. After that we can iterate back (in reverse order) and printing the quotient of all numbers which divides n.
= 1; $i--) if($n%$i == 0) echo $n/$i." "; echo "n"; printDivisors(10); printDivisors(50); printDivisors(100); ?>The above code will give the following output:
Divisors of 10 are: 1 2 5 10 Divisors of 50 are: 1 2 5 10 25 50 Divisors of 100 are: 1 2 4 5 10 20 25 50 100Recommended Pages
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How do you find the factors of a number in PHP?
PHP Program - Find all factors of a Number php //function to print all divisors of a number function printDivisors($n) echo "Divisors of $n are: "; for($i = 1; $i <= $n; $i++) if($n%$i == 0) echo "$i "; echo "n"; printDivisors(10); printDivisors(50); printDivisors(100); ?>How do you count the number of factors?
Finding the Number of Factors Step 1: Do the prime factorization of the given number, i.e., express it as the product of primes. Step 3: Write the prime factorization in the exponent form. Step 3: Add 1 to each of the exponents. Step 4: Multiply all the resultant numbers.How do you find the factors of a number in CPP?
It is called from the main() function with one parameter i.e. “num”. factors(num); The for loop in the function factors() runs from 1 to num. The number is divided by i and if the remainder is 0, then i is a factor of “num” and is printed.How do you count the number of factors in Java?
Here are a few methods to Find the Factors of a Number in Java Language,. Method 1: Using Range as [ 2, number ]. Method 2: Using Range as [ 2, number/2]. Method 3: Using Range as [2, Sqrt( number ) ]. Method 4: Using Range as [2, Sqrt( number ) ] Updated.. Method 5: Update for negative numbers.. Tải thêm tài liệu liên quan đến nội dung bài viết Define a function to count the number of factor of a number in php programming php