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# How to compute all the factors of a given number in Python

The following python program computes and prints all the positive factors of a given input number.

## Code

# This function returns a list containing all the factors of a ginven parameters n
def getFactors(n):
# Create an empty list for factors
factors=[];

# Loop over all factors
for i in range(1, n + 1):
if n % i == 0:
factors.append(i)

# Return the list of factors
return factors

# Call the function with a given value
print (getFactors(256))

Here is how the above program works:

• we define a function getFactors() which takes a number as input and returns a list of factors;
• this function initially creates an empty list;
• the function then iterates through number 1 to n using the built-in function range();
• if the reminder is 0, we know that the number is a factor of input number and hence we add it to the factors list;
• finally the factors list is returned.

## Output

[1, 2, 4, 8, 16, 32, 64, 128, 256]

## Prime number

It becomes easy to test if a given integer is a prime number:

if len(getFactors(42))==2:
print ('Prime number')
else:
print ('Not a prime number')