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

How do you find the greatest common factor (GCF) of two numbers?

Back

To find the GCF of two numbers, list the prime factors of each number and identify the highest common factors.

Front

What is the GCF of 16 and 36?

Back

The GCF of 16 and 36 is 4.

Front

What are the prime factors of 27?

Back

The prime factors of 27 are 3 x 3 x 3.

Front

How can you determine the GCF using prime factorization?

Back

By breaking down both numbers into their prime factors and multiplying the lowest powers of common prime factors.

Front

What is the significance of the GCF in real-life applications?

Back

The GCF helps in solving problems involving equal distribution, such as dividing items into groups.

Front

How do you find the least common multiple (LCM) of two numbers?

Back

To find the LCM, list the prime factors of each number, take the highest power of each prime, and multiply them together.

Front

What is the LCM of 3 and 5?

Back

The LCM of 3 and 5 is 15.

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the two numbers.

Front

How can you apply GCF to solve problems involving arrangements?

Back

By using the GCF to determine the maximum number of identical groups that can be formed from a set of items.