Factors and Prime factorization

What is a prime factorization?

• A complete square
• 6 x 4 are prime factors of 24
• a number that only has 1 and itself as factors
• A whole number written as a product of prime factors

What is a factor?

• For example 2 and 5 are factors of 10
• 10 is a factor of 2 and 5
• 2, 4, 6, 8, and 0 are factors
• 10, 20, 30, 40 are factors of 10

What is a multiple?

• For example, multiples of 7 are 7, 14, 21, 28, 35,...
• 1 x 7 it's a prime number
• 7¹
• 7x7=49

Which of these is a factor of 81.

• 2
• 3
• 0
• 5

Which of these numbers are a perfect square?

• 21because the area dimensions are 3 by 7
• 20 because it would be 4 by 5
• 16 because 4x4=16
• 16 because 8+8=16

What is the prime factorization of 150

• 2²x3x5
• 2x3x5
• 2x3x5²
• 3x5³

What are the factor pairs of 36?

• 6x6, 36x1
• 5x7, 36x1, 6x6
• 2²x3²
• 2x18, 6x6, 36x1, 4x9

What is the prime factorization of 300?

• 30x10
• 2²x3x5²
• 3x100
• 1x300, 150x2, 30x10, 3x100

What are ALL the factor pairs of 300?

• 300x1, 150x2, 100x3, 60x5, 4x75, 6x50, 15x20, 30x10, 12x25 
• 150x2, 100x3, 6x50, 30x10
• there are none; it's a prime number
• 300x1, 150x2, 100x3, 60x5, 4x75, 6x50, 15x20, 30x10, 12x25, 14x28

What is the prime factorization of 81?

• 9x9
• 3⁴
• 3x27
• 9²