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 30.

Back

2 x 3 x 5

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the numbers in a given set without leaving a remainder.

Front

Find the GCF of 8 and 12.

Back

4

Front

How do you find the GCF using prime factorization?

Back

1. Find the prime factorization of each number. 2. Identify the common prime factors. 3. Multiply the lowest powers of these common factors.

Front

Find the prime factorization of 42.

Back

2 x 3 x 7

Front

What is the relationship between GCF and prime factorization?

Back

The GCF can be found by multiplying the common prime factors from the prime factorizations of the numbers.

Front

Find the GCF of 18 and 24.

Back

6

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.