import sys
sys.float_info.max
print('yy = int(Y, 2)' )
print('For a binary string equal to the input value in terms of length')
print('Does this binary string (yy) has an exact factor for M?')
print('I will show that the binary string is equal to creating tallies')
value = int(input('Enter an integer >6: : '))

if value > 6:
   print('ok')
else:
   print('must be > 6')
   quit()


print('Tallies')
ask = value

# Here asktally performs simple arthemtic in the geometric sequencing.
# If you read the prior posts. You will the understand the purpose.

askTally = int(ask) -6

# Here the variable s adds the missing elements needed to create a binary
# string that WILL always be equal to the input value.

s = "0" * askTally
seq = ("11111","0");

# Here Y joins the two strings together s and seq and creates a binary string

Y= s.join( seq )

# The variable yy converts the binary string into int

yy = int(Y, 2)
bitlength = len(Y)
tally = str.replace(Y, "0", "1")
print(tally, bitlength, 'Tallies')
print(yy, '=', '124*','_',yy//124)


n = yy
m = int(input('enter target integer: '))


if n % m == 0:
    print("yes,", m, "is a factor of", n)
else:
    print("no,", m, "is not a factor of", n)