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?

(use a comma to separate answers as needed.)

Explanation:

Identify the divisibility rule for 2

$$ n = 123,460,38d $$

$$ n \equiv d \pmod{2} $$

Determine the valid digits for d

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

Answer:

(a) For what value(s) of d is n divisible by 2?
<blank>0, 2, 4, 6, 8</blank> (Use a comma to separate answers as needed.)