Track / Stage 3 / 249 of 260 #249 of 1964

Problem 249

AMC 10/12, early questions

Algebra Difficulty 3.9 Find the answer South African Mathematics Olympiad · South Africa

How many zeroes will there be in the answer if the following number is divided by $111$ ?
$1110222222003333333330004444444444440000$

Your answer

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

$\frac{1110222222003333333330004444444444440000}{111} = 100020020000300300300000400400400400000$ , which contains $28$ zeroes.

Source: MathNet, licensed CC-BY-4.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.