160 as a product of its prime factors is 2 5 x 5 Use this information to show that 160 has 12 factors

1 2 2 x 2 2 x 2 x 2 2 x 2 x 2 x 2 2 x 2 x 2 x 2 x x 5 2 x 2 x 5 2 x 2 x 2 x 5 2 x 2 x 2 x 2 x 5 2 x 2 x 2 x 2 x 2 x 5

324 as a product of its prime factors is 2 2 x 3 4 Use this information to show that 324 has an integer square root. What is the square root of 324?

Sqrt (2 2 x 3 4 ) = 2 x 3 2 = 18

2800 as a product of its prime factors is 2 4 x 5 2 x 7 How many square numbers are factors of 2800?

6 square numbers are factors 2 4 x 5 2 x 7 1 is a factor 2 2 is a factor (2 x 2) x (2 x 2) is a factor 5 2 is a factor (5 x 2) x (5 x 2) is a factor (5 x 2 x 2) x (5 x 2 x 2) is a factor

216 as a product of its prime factors is 2 3 x 3 3 How many cube numbers are factors of 216?

216 as a product of its prime factors is 2 3 x x 1 x 1 2 x 2 x 2 3 x 3 x 3 (2 x 3) x (2 x 3) x (2 x 3)