Problem Solving (PS) | Re: What is the maximum possible length of an integer less than 600?

According to the question - It means that we need to find the maximum possible number less than 600 who has maximum number of factors which must be less than 600.

It can only be possible when we take smallest prime no. ie. 2 and maximize its power i.e. suppose 9 (choose random from options given). SO the resultant number be 512. This means that max. total no of prime factors for the number be 9 + 1 = 10. So the answer is 10.

Note that number "1" is also a factor for the number 512.

Statistics : Posted by versewriter • on Aug 23, 2020 11:00 am • Replies 5 • Views 3562

---