Learn Before
Divisibility Tests
Divisibility tests provide quick guidelines based on a number's digits to determine if it is evenly divisible by a certain factor. By looking for specific patterns, we can quickly discover if a number is divisible without needing to perform the full division.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Related
Divisibility Tests
Factors of a Number
A retail manager is dividing 60 employee shifts equally among 5 supervisors. Because 60 divided by 5 results in exactly 12 shifts per supervisor with no remainder, which of the following is the correct way to describe the relationship between 60 and 5?
In a professional inventory scenario, if a total of 120 units can be divided by a batch size of 12 to produce a counting number with no remainder, we say that 120 is ____ by 12.
In a professional logistics scenario, if a shipment of 72 items is divided into boxes of 8 and results in exactly 9 boxes with no items left over, the number 72 is correctly described as being divisible by 8.
Defining Divisibility in Facilities Management
A logistics coordinator is preparing a report on inventory distribution. Match each mathematical term she uses to describe her stock counts with its correct definition based on the principles of divisibility.
A production supervisor is determining if a batch of 120 units is divisible by a testing set size of 15. Arrange the following steps in the correct logical order to verify this relationship based on the mathematical definition of divisibility.
Quality Control and Batch Processing
Defining Divisibility for SOP Documentation
A payroll specialist is verifying if a total bonus pool of $1,200 is divisible by the number of eligible employees, which is 15. According to the mathematical definition of divisibility, what does it mean for 1,200 to be divisible by 15?
An office manager is planning a floor layout and needs to arrange 48 desks into equal rows. If the manager determines that 48 is divisible by the number of desks per row, which of the following describes the necessary mathematical requirement for the result of this division?
Learn After
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
Applying Divisibility Tests to
Divisibility Test for
Divisibility Test for
Divisibility Test for
Divisibility Test for
Divisibility Test for
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?