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 the prime factorization of 72?

Back

The prime factorization of 72 is 2 x 2 x 2 x 3 x 3.

Front

What is the prime factorization of 33?

Back

The prime factorization of 33 is 11 x 3.

Front

What is a factor tree?

Back

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

Front

What number is never allowed in a factor tree?

Back

The number 1 is never allowed in a factor tree.

Front

What is the smallest prime number?

Back

The smallest prime number is 2.

Front

Can a prime number be even?

Back

Yes, the only even prime number is 2.