Oh! Hidden Inside?
Find the number which has 8 divisors, such that the product of the divisors is 331776.
Find the number which has 8 divisors, such that the product of the divisors is 331776.
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
The five digit number A679B, in base ten, is divisible by 72. What are the values of A and B?
A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
You'll need to know your number properties to win a game of Statement Snap...
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
6! = 6 × 5 × 4 × 3 × 2 × 1. The highest power of 2 that divides exactly into 6! is 4 since (6!) / (2^4) = 45. What is the highest power of two that divides exactly into 100!?