I'm thinking of a number. 12 is a factor of my number. What other factors MUST my number have?

How many factors of 1 x 2 x 3 x 4 x 5 x 6 can you name without working out what number it is?

1 x 2 x 3 x 4 x 5 x 6 Would you predict that 9 would be a factor of this number?

1 x 2 x 3 x 4 x 5 x 6 = 1 x 2 x 3 x 2 x 2 x 5 x 2 x 3 How does this help us see that 9 is a factor?

What factors do 2 x 3 x 4 x 5 x 6 and 5 x 7 x 9 have in common?

What factors do 3 x 7 x 8 x 9 and 2 x 3 x 6 x 9 have in common?

What factors do 5 x 9 x 10 and 200 have in common?