Factor Trees

Front

What is a factor tree?

Back

A factor tree is a diagram that shows the prime factorization of a number. It breaks down a number into its prime factors, starting from the number itself and branching out to its factors.

Front

How do you start creating a factor tree for a number?

Back

To start creating a factor tree, choose a number and find two factors of that number. Write the number at the top and branch down to the two 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

Give an example of a prime number.

Back

An example of a prime number is 7, as its only divisors are 1 and 7.

Front

What is the prime factorization of 12?

Back

The prime factorization of 12 is 2 x 2 x 3, or 2² x 3.

Front

How do you find the prime factorization of a number using a factor tree?

Back

To find the prime factorization using a factor tree, repeatedly divide the number by its factors until all branches end in prime numbers.

Front

What is the significance of prime factorization?

Back

Prime factorization is significant because it helps in simplifying fractions, finding the greatest common divisor (GCD), and solving problems in number theory.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder.

Front

How can you use factor trees to find the GCF of two numbers?

Back

To find the GCF using factor trees, create factor trees for both numbers, list their prime factors, and identify the common factors. The product of the common factors is the GCF.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest multiple that is exactly divisible by two or more numbers.