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 the prime factorization of 192?

Back

The prime factorization of 192 is 2^6 ⋅ 3.

Front

How do you convert the expanded form 2⋅2⋅2⋅3⋅3⋅5⋅7 into exponential form?

Back

The exponential form is 2^3 ⋅ 3^2 ⋅ 5 ⋅ 7.

Front

Is the number 34 prime or composite?

Back

34 is a composite number.

Front

What is the definition of 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 the definition of 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 prime factorization of 8?

Back

The prime factorization of 8 is 2 x 2 x 2 or 2^3.

Front

What is the significance of the number 1 in terms of prime and composite numbers?

Back

The number 1 is neither prime nor composite.

Front

How can you determine if a number is prime?

Back

To determine if a number is prime, check if it has exactly two distinct positive divisors: 1 and itself.

Front

What is the prime factorization of 30?

Back

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