Prime Factorization, GCF & LCM

Front

What is Prime Factorization?

Back

Prime factorization is the process of expressing a number as the product of its prime factors.

Front

What are Prime Numbers?

Back

Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

What is the Least Common Multiple (LCM)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

How do you find the GCF using Prime Factorization?

Back

1. Find the prime factorization of each number. 2. Identify the common prime factors. 3. Multiply the lowest powers of these common factors.

Front

How do you find the LCM using Prime Factorization?

Back

1. Find the prime factorization of each number. 2. Identify all prime factors, using the highest power of each. 3. Multiply these together.

Front

What is the prime factorization of 36?

Back

2 x 2 x 3 x 3

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What is the prime factorization of 18?

Back

2 x 3 x 3

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What is the prime factorization of 75?

Back

3 x 5^2

Front

Identify a multiple of 8.

Back

56 is a multiple of 8.