Podcast
Questions and Answers
What is prime factorization?
What is prime factorization?
- The process of obtaining the unique prime numbers that multiply into a larger number (correct)
- The process of subtracting prime numbers to obtain a larger number
- The process of obtaining any numbers that multiply into a larger number
- The process of adding prime numbers to obtain a larger number
What is a composite number?
What is a composite number?
- A negative whole number that is prime and cannot be divided into smaller whole numbers
- A positive whole number that is not prime and can be divided into smaller whole numbers (correct)
- A positive whole number that is prime and cannot be divided into smaller whole numbers
- A negative whole number that is not prime and can be divided into smaller whole numbers
How do prime factors relate to prime numbers?
How do prime factors relate to prime numbers?
- Prime factors are the result of adding two prime numbers together
- Prime factors are any set of numbers that can be multiplied to create a larger number
- Prime factors are the prime numbers that can be multiplied to create a larger number (correct)
- Prime factors are the result of subtracting two prime numbers from each other
What method can be used to find the LCM of any two numbers?
What method can be used to find the LCM of any two numbers?
What is the LCM of 2 and 3?
What is the LCM of 2 and 3?
What is the prime factorization of 21?
What is the prime factorization of 21?
What is the least common multiple of 21 and 9?
What is the least common multiple of 21 and 9?
What is prime factorization?
What is prime factorization?
What are prime factors special for?
What are prime factors special for?
How can prime factors be used for finding greatest common factors (GCF) and least common multiples (LCM)?
How can prime factors be used for finding greatest common factors (GCF) and least common multiples (LCM)?
Study Notes
- Prime factorization is the process of finding the unique prime numbers that can be multiplied together to get a composite number.
- Prime factors are special because they can only be divided by 1 and themselves.
- To find prime factors, multiply together the identified prime numbers until the result matches the original number.
- The prime numbers under 30 are commonly used in prime factorization.
- Serial factorization method involves factoring out the smallest prime number repeatedly until the remaining factors are prime.
- Prime factors can be organized in a table (tee chart) for easy reference during serial factorization.
- Factor tree method involves breaking down the number into factors and continuing the process with each resulting factor until prime factors are reached.
- Prime factorization is used for various purposes, including finding greatest common factors (GCF) and least common multiples (LCM).
- Greatest common factors are the largest numbers that can divide two numbers evenly, and can be found by identifying common prime factors.
- Least common multiples are the smallest numbers that two numbers can be multiplied into, and can also be found by identifying common prime factors.
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Description
Learn about prime factorization, the process of obtaining the unique prime numbers that multiply into a larger number. Discover how to break down this topic into manageable steps and explore multiple methods for finding a number's prime factorization.
