Prime Factorization

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.

Front

What is a composite number?

Back

A composite number is a natural number greater than 1 that has more than two positive divisors.

Front

What is the prime factorization of a number?

Back

The prime factorization of a number is the expression of that number as a product of its prime factors.

Front

Find the prime factorization of 420.

Back

The prime factorization of 420 is 2² • 3 • 5 • 7.

Front

Find the prime factorization of 30.

Back

The prime factorization of 30 is 2 • 3 • 5.

Front

What number has the prime factorization of 2³ • 3² • 5?

Back

The number is 360.

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. If it does, it is composite.

Front

What is the smallest prime number?

Back

The smallest prime number is 2.

Front

What is the largest prime number less than 100?

Back

The largest prime number less than 100 is 97.

Front

Can a prime number be even?

Back

Yes, the only even prime number is 2; all other even numbers are composite.