MA.5.A.2.4Archived Standard

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Determine the prime factorization of numbers.

Remarks

Finding the least common multiple (LCM) and the greatest common factor (GCF) of two numbers is related to prime factorization.

 

Divisibility rules for numbers such as 2, 3, 4, 5, 6, 9, and 10 may be explored.

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 5
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 2 - Develop an understanding of and fluency with addition and subtraction of fractions and decimals.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)
    • Also assesses MA.5.A.6.1 Identify and relate prime and composite numbers, factors, and multiples within the context of fractions.
  • Clarification :
    Students will factor composite numbers and express them as the product of prime factors.

    Students will identify reasons why a number is prime or composite or identify numbers that are prime or composite.
  • Content Limits :
    Expressions with a base of 2, 3, or 4 may have exponents up to 5, 4, or 3 respectively. 

    Expressions with a base of 5 through 10 may be raised to the second power. 

    Items will not include factoring numbers greater than 100.

  • Stimulus Attributes :
    Items may be in a real-world or a mathematical context.

    Items may use factor trees.
Sample Test Items (1)

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Alternate version of this benchmark for students with significant cognitive disabilities.

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Lesson Plan

Prime Factorization - From Fingerprints to Factorprints:

This activity provides an introduction to composite numbers and prime numbers through factorization.

Type: Lesson Plan

Tutorial

Factoring with the Factor Tree:

This Java applet presents a composite number, and prompts you to factor it -- one step at a time. Enter one factor, prime or another composite; the applet calculates the remaining factor, and branches two boxes below any composite factor so that you may proceed factoring until you obtain the full factorization into primes, which the applet colors in green. Click the "Repeat problem" button to see that different factor trees for a given number still result in the same prime factorization.

Type: Tutorial

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