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MF.NS.6 Standard MF-006-A09-V03

Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.

Check a prime-structure claim

Problem

A student says \(51\) is prime because it is odd and does not end in \(0\), \(2\), \(4\), \(5\), \(6\), or \(8\). Is the claim correct? If not, how should \(51\) be classified, and what nontrivial factor pair proves it?

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Four variants of this problem type
Curriculum context
Standard
MF.NS.6
Category
Number Sense
Domain
Whole-Number Structure
Objective
Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.
Problem type
Check a prime-structure claim