Divisibility Test for $6$

An inventory manager needs to determine if a shipment of 426 units can be divided equally among 3 different departments. To use the divisibility test for 3, what rule should the manager recall to verify this?

A logistics coordinator needs to distribute 3,102 inventory items equally among 3 different delivery zones. According to the divisibility test for 3, the coordinator can confirm this is possible by checking if the ____ of the individual digits (3, 1, 0, and 2) results in a value that is also divisible by 3.

A financial auditor needs to determine if a total of {}9,102 dollars can be distributed equally among three separate business accounts. Arrange the following steps in the correct order to apply the divisibility test for $3$ to this total.

Project Management: Resource Allocation

A supply chain manager is checking if a bulk order of 2,416 safety goggles can be evenly distributed among 3 manufacturing plants. According to the divisibility test for 3, the manager can confirm this simply by checking if the last digit of the total quantity is divisible by 3.

Quality Control: Batch Division

A warehouse logistics coordinator needs to determine if various incoming inventory shipments can be divided evenly into 3 separate storage zones without any leftover items. Match each shipment quantity to the correct calculation of its digit sum and divisibility test conclusion.