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Prime Number
A prime number is a counting number greater than whose only factors are and itself. For example, is prime because no counting number other than and divides it evenly. The prime numbers less than are and . Notably, is the only even prime number — every other even number has as an additional factor, making it composite rather than prime.
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Elementary Algebra @ OpenStax
Algebra
Math
Ch.7 Factoring - Elementary Algebra @ OpenStax
Prealgebra
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Prime Number
Factoring
Greatest Common Factor
A warehouse manager is organizing 48 items into equal-sized boxes. If the manager uses 4 boxes with 12 items each (4 * 12 = 48), what is the mathematical term for the numbers 4 and 12 in relation to the total 48?
A payroll specialist notes that an employee worked 8 hours a day for 5 days, totaling 40 hours. In the mathematical relationship 8 * 5 = 40, the numbers 8 and 5 are called ____ of 40.
A project manager determines that a team of 6 employees working 40 hours each will contribute a total of 240 labor hours (6 * 40 = 240). In this mathematical relationship, the numbers 6 and 40 are defined as factors of 240.
A department manager calculates that a team of 12 employees working 5 hours each contributes 60 total labor hours (12 × 5 = 60). Match each component of this scenario to its correct mathematical description based on the concept of factors.
Identifying Factors in Warehouse Logistics
A project coordinator is explaining the 'Factor Rule' to a new team member using the example of a 40-hour work week ($8 \text{ hours/day} \times 5 \text{ days} = 40 \text{ total hours}$). Arrange the following statements in the correct logical sequence to define why 8 and 5 are factors of 40 according to the course definition.
Solar Array Configuration
Defining Factors in a Professional Context
A logistics coordinator is arranging 24 pallets in a warehouse into equal-sized rows. To determine all possible configurations for the display, the coordinator must identify all factors of 24. Which of the following is the complete list of factors for the number 24?
In a resource allocation report, if 20 is identified as a factor of 100, then according to the course definition, 100 is mathematically defined as a ________ of 20.
Finding All the Factors of
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Composite Number
A data analyst is filtering a list of ID numbers and needs to identify the only even number that is also a prime number. Which number should they select?
In a technical training manual for algorithm design, a counting number greater than 1 that has no factors other than 1 and itself is defined as a(n) ____ number.
An IT security auditor is verifying a list of prime numbers used in a legacy encryption system. True or False: The number 1 is correctly classified as a prime number because its only factor is 1.
A data quality specialist is auditing a list of 'Secure ID Codes.' According to the system rules, these codes must be prime numbers. Match each code with the statement that correctly describes its classification based on the definition of a prime number.
Prime Number Definition and Identification Standards
A technical analyst is setting up a secure communication protocol that requires entering the first five prime numbers in ascending order (from smallest to largest) as a startup sequence. Based on the definition of a prime number, arrange the following numbers in the correct sequence.
Data Audit: Prime Number Classification Rule
Technical Standard: Defining Prime Numbers for Data Validation
A logistics coordinator is assigning 'Route IDs' to new delivery paths. According to the company's optimization manual, a Route ID must be a prime number. Which of the following IDs should the coordinator select?
An IT security auditor is reviewing a list of 'Secure Access Keys' that must follow the company's 'Prime Number Protocol.' During the audit, the number 9 is flagged as an invalid key. Based on the technical definition of a prime number, why is 9 excluded from the list?