Olympiad Maths Prep

Track / Stage 4 / 99 of 340 #359 of 2000

Problem 359

AMC 12 late, AIME early
Number theory Difficulty 4.7 Find the answer

42. The expression 2000×2001×2002××2018×20192000 \times 2001 \times 2002 \times \ldots \times 2018 \times 2019 ends with \qquad consecutive zeros.

Official solution

Reference answer: 6
Key points: Basic number theory - factors and multiples, unit digit problems

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.