Free Practice Question
PS · Problem Solving
555-605
Number Properties
What is the highest possible length of an integer that is less than 500? (The length of an integer refers to the total count of prime factors in its prime factorization.)
Answer Choices
Correct answer marked belowA
5
B
6
C
7
8
Correct
E
9
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Explanation
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Official Explanation
Official
To determine the maximum length of an integer less than 500, we need to understand that the length is defined as the total number of prime factors, including repetitions, in its prime factorization. The integer 2^8 = 256 is less than 500 and has a length of eight, as it consists…
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2
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I
IfeanyichukwuOct 28, 2024
thank you very much!
P
pranavFeb 23, 2024
thanksss
What this question tests
What it tests
Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.
Common trap
Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.
Details
Difficulty
555-605
Type
PS
Category