Determine Prime Factorization Using Number Trees

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

How do you use a number tree to find prime factorization?

Back

A number tree breaks down a number into its prime factors by dividing it into pairs of factors until all factors are prime.

Front

Find the prime factorization of 105 using a number tree.

Back

7 x 5 x 3

Front

What is the exponential form of 2⋅2⋅2⋅3⋅3⋅5⋅7?

Back

2³⋅3²⋅5⋅7

Front

Find the prime factorization of 64 using a number tree.

Back

2 x 2 x 2 x 2 x 2 x 2

Front

Find the prime factorization of 111 using a number tree.

Back

37 x 3

Front

What is the prime factorization of 192?

Back

2⁶ ⋅ 3

Front

What is the first step in creating a number tree for prime factorization?

Back

Start by finding two factors of the number.

Front

What do you do when you reach a prime number in a number tree?

Back

You stop dividing and write down the prime number as a factor.