Example of Applying Divisibility Tests

An office manager is organizing a large shipment of supplies into equal groups for different departments. Match each divisor with the correct rule used to determine if the total quantity of supplies is evenly divisible by that factor.

A logistics coordinator needs to determine if a shipment of 1,242 units can be split evenly into 3 separate delivery trucks. According to the divisibility test for 3, what condition must the number 1,242 meet?

A logistics manager is checking if a shipment of 8,412 units can be split into 6 equal loads. According to the divisibility rule for 6, the number 8,412 must be divisible by both 2 and ____.

Inventory Batching and Divisibility

A warehouse supervisor needs to verify if a shipment of 2,112 units can be split into 6 equal loads for delivery. Arrange the following steps in the correct order to apply the divisibility test for 6.

Applying Divisibility Tests to $5{,}625$

Applying Divisibility Tests to $4{,}962$

Divisibility Test for $2$

Divisibility Test for $3$

Divisibility Test for $5$

Divisibility Test for $6$

Divisibility Test for $10$

A logistics coordinator is verifying if a total of 1,245 units can be split into 3 equal shipments for distribution. True or False: According to the divisibility test for 3, a number is evenly divisible by 3 if the sum of all its digits is divisible by 3.

Standard Operating Procedure: Divisibility Quick-Checks

Retail Promotion Audit

A logistics coordinator is preparing to group a shipment of 1,345 units into smaller packs of 5. To quickly verify if the shipment can be evenly divided into these packs without any units left over, the coordinator recalls the divisibility test for 5. According to this test, what digits must a number end in to be divisible by 5?

A warehouse supervisor is training a new employee on how to quickly check if a shipment can be divided into two equal delivery loads. To determine if a total count of 846 units is divisible by 2, the supervisor explains the divisibility test for 2. According to this test, a number is divisible by 2 if its last digit is one of which following sets of digits?

Divisibility Test for $6$

A logistics coordinator is reviewing a warehouse shipment of items and needs to determine if the total quantity can be split exactly into two equal delivery loads. According to the divisibility test for ${}2$, which set of digits must the final (ones) digit of the total quantity be for the number to be divisible by ${}2$?

Identifying Divisibility by ${}2$ in Resource Management

A payroll administrator is reviewing total employee hours to see if they can be divided exactly into two equal pay periods. Match each term related to the divisibility test for ${}2$ with its correct role in determining if a total quantity is divisible.

A shipment coordinator needs to split a total of ${}1,452$ items into two equal delivery groups. To determine if this is possible using the divisibility test for ${}2$, the coordinator looks at the last digit of the total quantity. According to the test, the number is divisible by ${}2$ if that last digit is an even number, specifically ${}0$, ${}2$, ${}4$, ${}6$, or ____.

An inventory manager is checking if a batch of newly arrived components can be evenly divided between two separate assembly lines. To quickly verify this using the divisibility test for ${}2$, the manager only needs to confirm that the final digit of the total component count is ${}0$, ${}2$, ${}4$, ${}6$, or ${}8$.

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.