samgyupsal16
samgyupsal16 samgyupsal16
  • 16-02-2019
  • Mathematics
contestada

The prime factorization of N is 3^3 * 7^r. If N has exactly 16 positive integer factors, what is the value of R?

Respuesta :

mathecoach
mathecoach mathecoach
  • 16-02-2019

Answer:

3^3 * 7^r has (3 + 1)*(r + 1) = 16 factors.

So r must be 3.

Answer Link
wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 16-02-2019

Answer:

13

Step-by-step explanation:

N = 3^3 * 7^r

N has 16 integer factors

3^3 is 3 factors

That means 7^r must be 16-3 or 13 factor

7^r must be 13 terms

so 7^r must be 7*7*7..... *7  so that there are 13 term which means

r must be 13

Answer Link

Otras preguntas

Solve for x in terms of a and b:x^2 - 3ax - 4a^2 = 0x = 4a, x = -a. <<<this is the answer but what are the steps to get it?
Some hot dogs come in packages of 8. Why wold a baker of hot dog buns package 7 hot dog buns to a package?
how i can do this step by step If y= (x+3)^2, then (-2x-6)^2
$12.95 dinner; 15% tip
1-which of the following was an important reason that the Framers favored a bicameral legislature? (a) both Parliament and the colonial legislature were bicamer
according to the author, what were condition like in europe during the 800's
From a pile of 100 pennies(P), 100 nickels(N), and 100 dimes(D), select 21 coins which have a total value of exactly $1.00. In your selection you must also use
how were mayan cities organized
Why shouldn't prince Edgar be be king?
how i can do this step by step If y= (x+3)^2, then (-2x-6)^2