### Gaxinta

A number N is divisible by 10, 90, 98 and 882 but it is NOT divisible by 50 or 270 or 686 or 1764. It is also known that N is a factor of 9261000. What is N?

### Strange Numbers

All strange numbers are prime. Every one digit prime number is strange and a number of two or more digits is strange if and only if so are the two numbers obtained from it by omitting either its first or its last digit. Find all strange numbers.

### Factoring Factorials

Find the highest power of 11 that will divide into 1000! exactly.

# Thirty Six Exactly

##### Age 11 to 14Challenge Level

The number $12 = 2^2 \times 3$ has 6 factors. What is the smallest natural number with exactly 36 factors?