To find the number of divisors, including 1 and m, add 1 to the exponent of each of the prime factors and multiply those sums together.
.. number of divisors = (2 +1)*(1 +1)*(3 +1) = 3*2*4 = 24
When you exclude 1 and m, you have 22 divisors remaining.
Selection D is appropriate.
So if 1 CM in the model is 200 CM in the actual, just 200 x 17 which is 3400cm
so in Meters it would be 34 m
Answer:
Katherine will make minimum 8 playlists. Each playlist will contain 4 pop songs and 9 rock songs.
Step-by-step explanation:
We have been given that Katherine has 32 pop songs and 72 rock songs on her mp3 player. She is willing to organizing the songs into playlists such that there are equal number of pop songs and an equal number of rock songs into each playlist.
We can find the minimum number of playlists by finding GCF of the given two numbers.
We can write 32 = 2^5 and we can write 72 = 2^3*3^2
Therefore, GCF of the two numbers is 2^3 = 8.
Hence, she will be making total 8 playlists where each playlist will contain 4 pop songs and 9 rock songs.