Justify each of the given statements, assuming that a, b, and c are whole numbers. If a st...

Justify each of the given statements, assuming that a, b, and c are whole numbers. If a statement cannot be justified by one of the theorems in this section, answer “none.”

a. 4|20 implies 4|113•20.

b. 4|100 and 413 imply 4(100 + 13)

c. 4|100 and 413 imply 41300.

d. 3|(a + b) and 3c imply 3(a + b + c).

e. 3|a implies 3a2.