Question

let the natural number n have the decimal numeral 123,460,38d, where d is the units digit. use divisibility tests to answer 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?
(use a comma to separate answers as needed.)

Explanation:

Analyze divisibility by 2

Using the Divisibility Rules knowledge point

$$ d \in \{0, 2, 4, 6, 8\} $$

Sum the digits of the number

Using the Divisibility Rules knowledge point

$$
LATEXBLOCK0
$$

Apply divisibility rule for 3

Using the Divisibility Rules and Modular Arithmetic knowledge points

$$
LATEXBLOCK1
$$

Answer:

Question 1

0,2,4,6,8

Question 2

0,3,6,9