Exploring Factors and Multiples through Prime Factorization

What is a prime factor?

• A factor that has more than two divisors

• A factor that is divisible by 3

• A factor that has exactly two divisors

• A factor that is divisible by 2

Which of the following is a prime number?

• 4

• 6

• 9

• 7

What is the prime factorization of 2646?

• 2^3 * 3^2 * 7

• 2 * 3^3 * 7^2

• 2 * 3^2 * 7^2

• 2^2 * 3^3 * 7

Which method can be used to find the prime factors of a number?

• Multiplication

• Addition

• Factor Tree

• Subtraction

What is the greatest common factor (GCF) of 126 and 144?

• 24

• 18

• 12

• 36

How do you find the GCF using prime factorization?

• List all factors and choose the smallest

• Divide the numbers by their prime factors

• List all factors and choose the largest

• Multiply all prime factors

What is the least common multiple (LCM) of 28, 42, and 63?

• 126

• 252

• 504

• 756

How do you find the LCM using prime factorization?

• Divide the numbers by their prime factors

• Multiply all prime factors

• Take the largest power of each prime factor

• Take the smallest power of each prime factor

What is the side length of the smallest square that can be tiled with rectangles measuring 8 inches by 36 inches?

• 80 inches

• 72 inches

• 64 inches

• 90 inches

What is the side length of the largest square that can be used to tile a rectangle measuring 8 inches by 36 inches?

• 6 inches

• 8 inches

• 4 inches

• 2 inches