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Divisible by a Number
If a number is a multiple of , then is divisible by . This means that dividing by results in a counting number with no remainder. For example, since is a multiple of (), is divisible by . When we divide by , we get the counting number ().
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Divisible by a Number
Least Common Multiple
A project manager is scheduling team meetings in 15-minute blocks. Which of the following total durations represents a multiple of 15, indicating the meeting was scheduled using only full 15-minute blocks?
In a corporate warehouse, items are packaged in boxes of 10. If a supervisor counts a total of 80 items, the number 80 is defined as a ____ of 10 because it is the product of 10 and the counting number 8.
A warehouse supervisor is reviewing inventory counts. Match each standard batch size to a total quantity that represents a multiple of that size.
A warehouse supervisor is counting inventory stored in boxes of 8. The supervisor determines that 40 is a multiple of 8 because it can be expressed as the product of the counting number 5 and 8.
Defining Multiples in Professional Contexts
A warehouse technician is required to perform a full inventory audit every 12 days of operation. Arrange the first four operational day marks (the multiples of 12) in the correct chronological sequence to show when these audits will occur.
Inventory Logistics and Lot Sizes
The Application of Multiples in Production Planning
A warehouse supervisor is training a new employee on how to order supplies that only come in standard lot sizes, such as boxes of 12. To ensure the employee understands the terminology used in inventory reports, the supervisor asks: 'By definition, a multiple of a number is formed by taking that value and doing what?'
A logistics coordinator is organizing shipments of office chairs that are delivered in crates of 6. Which of the following lists represents the first four multiples of 6, corresponding to the total number of chairs in 1, 2, 3, and 4 crates respectively?
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Divisibility Tests
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?
Factor of a Number