If m, p, and t are distinct positive prime numbers, then (m^3) (p) (t) has how many different positive factors greater than 1?

a. 8

b. 9

c. 12

d. 15

e. 27

Question

Polo

Mathematics

27 April, 13:55

If m, p, and t are distinct positive prime numbers, then (m^3) (p) (t) has how many different positive factors greater than 1?

a. 8

b. 9

c. 12

d. 15

e. 27

+3

Answers (1)

Know the Answer?

Jaylynn Blair · Answer 1

d. 15

Step-by-step explanation:

List the exponents of each of the prime factors. Here, they are 3, 1, 1.

Add 1 to each of these values and form the product of these sums:

(4) (2) (2) = 16

This is the number of divisors of the number. Since 1 is included in this count, 15 of the divisors are greater than 1.

If m, p, and t are distinct positive prime numbers, then (m^3) (p) (t) has how many different positive factors greater than 1?a. 8b. 9c. 12d. 15e. 27

If m, p, and t are distinct positive prime numbers, then (m^3) (p) (t) has how many different positive factors greater than 1?

a. 8

b. 9

c. 12

d. 15

e. 27