Track / Stage 4 / 171 of 340 #431 of 1964

Problem 431

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

44. A natural number, its 2 times has exactly 2 more factors than it has, and its 3 times has exactly 3 more factors than it has. This natural number is $\qquad$ .

Your answer

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

Official solution

answer: 12

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