Prime Factorization Review

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 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

What is the prime factorization of 12?

Back

The prime factorization of 12 is 2 x 2 x 3 or 2^2 x 3.

Front

What is the smallest prime number?

Back

The smallest prime number is 2.

Front

Is 1 a prime number? Why or why not?

Back

No, 1 is not a prime number because it does not meet the definition of having exactly two distinct positive divisors.

Front

What is the prime factorization of 30?

Back

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

Front

How can 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 by testing divisibility with prime numbers up to its square root.

Front

What is the prime factorization of 18?

Back

The prime factorization of 18 is 2 x 3 x 3 or 2 x 3^2.

Front

What is the relationship between prime and composite numbers?

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Every natural number greater than 1 is either a prime number or a composite number.