Answer:
49
Step-by-step explanation:
The expanded form of 14 to the power 6 can be written as follows
[tex]14^{6}= 2^{6}\times 7^6[/tex]
since 2 and 7 are prime numbers hence they can not be broken down into smaller factors.
now according the rule of finding factors
total number of factor= (a+1)*(b+1)
where a and b are powers of the prime factors
therefore, total number of factor= (6+1)*(6+1)= 7*7= 49
