If k, m, and n are all prime numbers, list all factors of k∙m∙n.

Factors of kmn are 1, k, m, n, km, mn, kn and kmn

Step-by-step explanation:

Given: k, m, and n are prime numbers

To find: factors of k∙m∙n

Solution:

A number is said to be prime if it has exactly two factors: 1 and the number itself

x is said to be a factor of y if x can divide y exactly.

Here,

1 can divide kmn

k can divide kmn

m can divide kmn

n can divide kmn

km can divide kmn

kn can divide kmn

mn can divide kmn

kmn can divide kmn

So, factors of kmn are 1, k, m, n, km, mn, kn and kmn

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is b.)

< 1=< 2