Prime Factorization and GCF

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.

Tags

CCSS.4.OA.B.4

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

How do you find the GCF of two numbers?

Back

To find the GCF, list the prime factors of each number and identify the highest common factors.

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 LCM of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest common multiple.

Front

What is the prime factorization of 12?

Back

The prime factorization of 12 is 2 x 2 x 3 or 2^2 x 3.

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What is the prime factorization of 18?

Back

The prime factorization of 18 is 2 x 3 x 3 or 2 x 3^2.

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What is the prime factorization of 30?

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The prime factorization of 30 is 2 x 3 x 5.

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If the GCF of 16 and 18 is 2, what does that mean?

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It means that 2 is the largest number that can divide both 16 and 18 without leaving a remainder.