More maths with Python

Today I had some spare time, so I decided to try and write some basic functions in Python which could be useful to have some fun.

Here they are:

Function no. 1 PRIME NUMBERS FINDER

#find prime numbers less than n
def find_primes(n):
    i = 2
    primes = []
    while i <= n:
        if len(find_divisors(i)) == 2:
            primes.append(i)
            i += 1
        else:
            i += 1
    return primes

print(find_primes(1000))

This function finds all the prime numbers which are less than the given number n. Pretty interesting if you are fascinated by prime numbers.

Function no. 2 PRIME FACTORIZATION FUNCTION

#Prime factorization
def factorize(n):
    a = n
    i = 2
    factors = [1]
    while i <= n+1:
        if (a%i == 0):
            factors.append(i)
            a = int(a/i)
            i = 2
        else:
            i += 1
    return factors

print(factorize(90))

This function returns the prime factorization of a given number. As usual, the item returned is a list.

Function no. 3 FIND ALL THE DIVISORS

#Find divisors
def find_divisors(n):
    divisors = [1]
    i = 2
    while i <= n:
        if n % i == 0:
            divisors.append(i)
            i += 1
        else:
            i += 1
    return divisors

print(find_divisors(90))

This function returns the list of the divisors of a given number.

Function no. 4 FIND THE MCD

#find MCD
def find_MCD(a,b):
    divisors_a = find_divisors(a)
    divisors_b = find_divisors(b)
    common_divisors = []
    for i in divisors_a:
        if i in divisors_b:
            common_divisors.append(i)
    return max(common_divisors)

print(find_MCD(20,40))

This function returns the MCD of two given numbers and can be pretty handy if you need to reduce a fraction. Furthermore, it can easily be extended to more arguments.

I wish I could program when I was in high school!! :)