Factor Trees

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

List the factors of 24.

Back

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

Front

What is a factor?

Back

A factor is a number that divides another number without leaving a remainder.

Front

How do you determine if a number is a factor of another number?

Back

To determine if a number is a factor of another, divide the second number by the first. If the result is a whole number, then the first number is a factor.

Front

What are the common factors of two numbers?

Back

Common factors are the factors that two or more numbers share.

Front

What is the prime factorization of a number?

Back

The prime factorization of a number is the expression of that number as the product of its prime factors.

Front

Find the prime factorization of 54.

Back

The prime factorization of 54 is 2 x 3 x 3 x 3 (or 2 x 3^3).

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of 16 and 24?

Back

To find the GCF of 16 and 24, list the factors of each number: Factors of 16: 1, 2, 4, 8, 16; Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. The common factors are 1, 2, 4, and 8, so the GCF is 8.

Front

What is a factor tree?

Back

A factor tree is a diagram that shows the prime factorization of a number by breaking it down into its prime factors.