Ports 1, 4, 9, 16, 25, 36,49, 64, 81 and 100 will remain open.
The ports will only remain open if they are toggled an odd number of times, and only if the leg's number has an odd number of factors. Factors have to come in pairs, since you need to multiply two factors to make a number. Square numbers are also the only numbers where there's only one factor involved (multiplying by itself, so it counts as one).
Consider the number 16: 1 x 16, 2 x 8, 4 x 4. Its factors are therefore 1 and 16, 2 and 8, and 4, which makes a total of five factors, an odd number.
Square numbers are the only numbers with an odd number of factors and therefore only those corresponding exhaust ports will remain open after one hundred strikes from the Apple-Crab.
Page generated in 0.031 seconds
Total duration
677 users online
876,312 hits today, 1,960,719 yesterday
My Little Pony: Friendship is Magic Fanfiction
Designed and coded by knighty & Xaquseg - © 2011-2024
Support us
SubStar
Chat!
Discord
Follow us
Twitter
MLP: Friendship is Magic® - © 2024 Hasbro Inc.®
Fimfiction is in no way affiliated with or endorsed by Hasbro Inc.®