Counting Factors
Is there an efficient way to work out how many factors a large number has?
Is there an efficient way to work out how many factors a large number has?
Can you work out what step size to take to ensure you visit all the dots on the circle?
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
Can you describe this route to infinity? Where will the arrows take you next?
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
Nine squares are fitted together to form a rectangle. Can you find its dimensions?
Use properties of numbers to work out whether you can satisfy all these statements at the same time.
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?