Maths Olympiad Prep

Track / Stage 4 / 24 of 340 #284 of 1964

Problem 284

AMC 12 late, AIME early
Number theory Difficulty 4.5 Multiple choice

A3. How many divisors does the number 152 have?

Pick one

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Official solution

A3. The number 152 can be written as a prime factorization: 222192 \cdot 2 \cdot 2 \cdot 19, from which we can determine that its divisors are: 1,2,4,8,19,38,761,2,4,8,19,38,76 and 152. The number 152 has 8 divisors.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.