Question

let the natural number n have the decimal numeral 123,460,38d, where d is the units digit. use divisibility tests for parts (a) through (h) below.

(a) for what value(s) of d is n divisible by 2?
0,2,4,6,8 (use a comma to separate answers as needed.)

(b) for what value(s) of d is n divisible by 3?
0,3,6,9 (use a comma to separate answers as needed.)

(c) for what value(s) of d is n divisible by 4?
(use a comma to separate answers as needed.)

Explanation:

Identify the number and target condition

Using the Divisibility Rules knowledge point

$$
LATEXBLOCK0
$$

Apply the divisibility rule for 4

Using the Divisibility Rules knowledge point

$$
LATEXBLOCK1
$$

Solve for the digit d

Using the Divisibility Rules and Modular Arithmetic knowledge points

$$
LATEXBLOCK2
$$

Answer:

(c) For what value(s) of d is n divisible by 4?

<blank>0,4,8</blank> (Use a comma to separate answers as needed.)