Question

If you write 14 to the 6 power in expanded form, how many factor will there be?

Answer 1

Answer:

49

Step-by-step explanation:

The expanded form of 14 to the power 6 can be written as follows

$14^{6}= 2^{6}\times 7^6$

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

Answer 2

14 to the 6th power is 7,529,536. There are zero factors.