๐ Topic Summary
The prime factorization ladder method is a way to break down a number into its prime factors. You start by dividing the number by the smallest prime number that divides it evenly. Then, you continue dividing the quotient by prime numbers until you reach 1. The prime factors are all the prime numbers you used as divisors. This method is visually appealing and helps organize your work, making it easier to find the prime factorization.
๐ง Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Prime Number |
A. A whole number greater than 1 that has only two factors, 1 and itself. |
| 2. Composite Number |
B. A diagram that shows the prime factorization of a number using a series of divisions. |
| 3. Factor |
C. A whole number greater than 1 that has more than two factors. |
| 4. Prime Factorization |
D. A number that divides evenly into another number. |
| 5. Ladder Method |
E. Expressing a number as a product of its prime factors. |
๐ Part B: Fill in the Blanks
Use the following words to fill in the blanks: prime, composite, factors, ladder, division.
The _______ method is a way to find the _______ factorization of a number. We use repeated _______ by _______ numbers until we reach 1. Numbers that have more than two _______ are called _______ numbers.
๐ค Part C: Critical Thinking
Explain in your own words why it is helpful to know the prime factorization of a number. Give at least two reasons.