prime factorization

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.

Front

What is a factor tree?

Back

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

Front

Find the prime factorization of 42 using a factor tree.

Back

7 x 3 x 2

Front

Find the prime factorization of 32 using a factor tree.

Back

2 x 2 x 2 x 2 x 2

Front

Find the prime factorization of 105 using a factor tree.

Back

7 x 5 x 3

Front

Find the prime factorization of 72 using a factor tree.

Back

2 x 2 x 2 x 3 x 3

Front

What is the prime factorization of 8?

Back

2 x 2 x 2

Front

Is 1 a prime number? Why or why not?

Back

No, 1 is not a prime number because it does not meet the definition of having exactly two distinct positive divisors.

Front

What is the smallest prime number?

Back

The smallest prime number is 2.