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 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 is not prime, meaning it has more than two positive divisors.

Front

Is the number 1 prime, composite, or neither?

Back

The number 1 is neither prime nor composite.

Front

What is a factor tree?

Back

A factor tree is a diagram used to break down a number into its prime factors.

Front

Find the prime factorization of 60 using a factor tree.

Back

60 = 2 x 2 x 3 x 5 or 2^2 x 3 x 5.

Front

Find the prime factorization of 84 using a factor tree.

Back

84 = 2 x 2 x 3 x 7 or 2^2 x 3 x 7.

Front

What is the prime factorization of 100?

Back

100 = 2 x 2 x 5 x 5 or 2^2 x 5^2.

Front

How do you determine if a number is prime?

Back

To determine if a number is prime, check if it has any divisors other than 1 and itself.

Front

What is the prime factorization of 45?

Back

45 = 3 x 3 x 5 or 3^2 x 5.