How to Find the Prime Factorization of a Number


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question 1 of 3

What is the prime factorization of 32?

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1. Which of the following is NOT a way to begin the factor tree for 1230?

2. What is the prime factorization of 420?

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About This Quiz & Worksheet

Defining the prime factorization of a number involves breaking the number up into its prime factors, and this quiz/worksheet combo will help you test your understanding of this type of factorization. These practice questions will test your understanding of prime numbers and how to note the factor trees of certain numbers.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • How to write out prime factorizations
  • Noting the factor trees that lead to prime factorizations
  • Defining prime numbers

Skills Practiced

This quiz and worksheet will test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information on factor trees from the related lesson
  • Critical thinking - apply relevant concepts to examine information about prime numbers in a different light
  • Problem solving - use your acquired knowledge to solve prime factorization practice problems

Additional Learning

You should also read the related lesson called How to Find the Prime Factorization of a Number. The lesson covers the following objectives:

  • Define factors, prime numbers, prime factorization, and factor trees
  • Demonstrate your ability to perform these calculations using factor trees
  • Differentiate between the two ways to write out factor trees: using prime factors to begin with or using non-prime factors
  • Understand the tricks for defining prime factors discussed in this lesson