3

Part of 2006 AIME Problems

Problems(2)

Removing left most digit gives 1/29th of original number

Source: 2006 AIME A Problem 3

Find the least positive integer such that when its leftmost digit is deleted, the resulting integer is

\frac{1}{29}

of the original integer.

integrationAMCAIMEAIME IIAIME Inumber theory

Number theory 3

Source: 2006 AIME II 3

P

be the product of the first 100 positive odd integers. Find the largest integer

k

P

is divisible by

3^k