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

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 36 and 54?

Back

The GCF of 36 and 54 is 18.

Front

Is 2 the only even prime number?

Back

True, 2 is the only even prime number.

Front

What is the prime factorization of 108?

Back

The prime factorization of 108 is 2² • 3³.

Front

Are all even numbers composite?

Back

False, not all even numbers are composite; for example, 2 is a prime number.

Front

How should prime factorization be written?

Back

Prime factorization should be written from least to greatest.

Front

What is a factor?

Back

A factor is a number that divides another number without leaving a remainder.