Prime Factorization and GCF with Monomials

Front

What is prime factorization?

Back

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

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What is a composite number?

Back

A composite number is a natural number greater than 1 that has more than two positive divisors.

Front

How do you create a factor tree?

Back

A factor tree is created by dividing a number into its prime factors, branching out until all factors are prime.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

What is the GCF of 20 and 30?

Back

The GCF of 20 and 30 is 10.

Front

What is the prime factorization of 80?

Back

The prime factorization of 80 is 2^4 ⋅ 5.

Front

What is the prime factorization of 54?

Back

The prime factorization of 54 is 2 ⋅ 3^3.