prime factorization

Front

What is a prime number?

Back

A prime number has exactly 2 factors: 1 and the number itself.

Front

How do you find the prime factorization of a number using a factor tree?

Back

You repeatedly divide the number by its smallest prime factor until you reach 1, writing down the prime factors as you go.

Front

What is the prime factorization of 42?

Back

The prime factorization of 42 is 7 x 3 x 2.

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 8?

Back

The prime factorization of 8 is 2 x 2 x 2.

Front

What is the prime factorization of 60?

Back

The prime factorization of 60 is 5 x 3 x 2 x 2.

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.

Front

What is the difference between prime and composite numbers?

Back

Prime numbers have exactly two distinct positive divisors, while composite numbers have more than two.

Front

How can you determine if a number is prime?

Back

A number is prime if it has no divisors other than 1 and itself.