The integers 8, 12, 15, and 30 are all factors of the positive integer m.

Which of the following integers must also be a factor of m?
I. 120
II. 150
III. 240

Answer Choices

Correct answer marked below

I only

Correct

I and II only

I and III only

II and III only

I, II, and III

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Explanation

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Official Explanation

Official

The integers 8, 12, 15, and 30 are factors of the positive integer m. To determine which of the options must also be a factor of m, we first find the least common multiple (LCM) of the given factors. The LCM of 8, 12, 15, and 30 is 120. Now we check each option: I. 120 is a…

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Comments

ImadJan 23, 2025

Good question

SHIVANKDec 4, 2024

Greatt

What this question tests

What it tests

Your understanding of divisibility rules, least common multiples, and greatest common factors.

Common trap

Forgetting that 1 is not prime and that every integer divides 0.

The integers 8, 12, 15, and 30 are all factors of the positive integer m. Which of the following integers must also be a factor of m? I. 120 II. 150 III. 240