Prime Factorization

Front

What is prime factorization?

Back

Prime factorization is the process of breaking down a number into its prime factors, which are the prime numbers that multiply together to give the original number.

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 a factor tree?

Back

A factor tree is a visual representation used to find the prime factorization of a number by breaking it down into its factors.

Front

What number is never allowed in a factor tree?

Back

1 is never allowed in a factor tree because it is not a prime number.

Front

Find the prime factorization of 42 using a factor tree.

Back

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

Front

Find the prime factorization of 45 using a factor tree.

Back

The prime factorization of 45 is 3 x 3 x 5.

Front

Find the prime factorization of 64 using a factor tree.

Back

The prime factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2.

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 prime factorization of 12?

Back

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