Question

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let the natural number n have the decimal numeral 123,454,26d, where d is the units digit. use divisibility parts (a) through (h) below.

(b) for what value(s) of d is n divisible by 3?
(c) for what value(s) of d is n divisible by 4?
(d) for what value(s) of d is n divisible by 5?
(e) for what value(s) of d is n divisible by 6?
(f) for what value(s) of d is n divisible by 8?
(g) for what value(s) of d is n divisible by 9?

Explanation:

Sum the known digits of the number

Using the Divisibility Rules knowledge point

$$
LATEXBLOCK0
$$

Apply the divisibility rule for 9

Using the Divisibility Rules and Modular Arithmetic knowledge points

$$
LATEXBLOCK1
$$

Answer:

(g) For what value(s) of d is n divisible by 9?

<blank>0,9</blank> (Use a comma to separate answers as needed.)