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 are prime numbers?

Back

Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

Front

Find the prime factorization of 28.

Back

28 = 2 x 2 x 7 or 28 = 2^2 x 7.

Front

What is the Greatest Common Factor (GCF)?

Back

The 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 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

What are the prime factors of 30?

Back

The prime factors of 30 are 2, 3, and 5.

Front

Find the prime factorization of 45.

Back

45 = 3 x 3 x 5 or 45 = 3^2 x 5.

Front

What is the relationship between GCF and prime factorization?

Back

The GCF can be found by identifying the common prime factors of the numbers and multiplying them.

Front

Find the GCF of 24 and 36.

Back

The GCF of 24 and 36 is 12.

Front

What is the prime factorization of 56?

Back

56 = 2 x 2 x 2 x 7 or 56 = 2^3 x 7.