## What is the maximum possible length of an integer less than 600? (the length of an integer is the total number of prime

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### What is the maximum possible length of an integer less than 600? (the length of an integer is the total number of prime

by BTGmoderatorDC » Thu Jun 23, 2022 5:04 am

00:00

A

B

C

D

E

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What is the maximum possible length of an integer less than 600?
(the length of an integer is the total number of prime factors in its prime factorization)

A) 6
B) 7
C) 8
D) 9
E) 10

OA D

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### Re: What is the maximum possible length of an integer less than 600? (the length of an integer is the total number of pr

by Ian Stewart » Tue Jun 28, 2022 11:05 am
We'll get the "longest" number by multiplying the smallest primes together -- in other words, we want to use as many 2's as we can. Since 2^9 = 512 is less than 600, but 2^10 is greater than 600, the answer is 9.
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