Problem preview
MF.NS.6 Standard MF-006-A10-V01

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

Translate a structure representation into standard form

Problem

A factor tree shows \(90\) splitting into \(9\) and \(10\), then into \(3\), \(3\), \(2\), and \(5\). Write the prime factorization represented by the tree.

Big Picture

What this problem is really about

The information we need sits at the ends of the factor tree, not at its first split. We’ll follow both composite branches until the leaves are prime, collect every leaf, group repeated primes with an exponent, and multiply the result back to ninety. That prevents us from stopping at a partial factorization.

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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
Translate a structure representation into standard form