Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2006-06-23 01:25:52

RauLiTo
Member
Registered: 2006-01-11
Posts: 142

get the number

get the number which is divdd by 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 with a remain 1 !
i got the number its 5251 but the question how can we calculate that !?


ImPo$$!BLe = NoTH!nG
Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...

Offline

#2 2006-06-23 01:28:38

RauLiTo
Member
Registered: 2006-01-11
Posts: 142

Re: get the number

sorry i forgot to say its less than 3000


ImPo$$!BLe = NoTH!nG
Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...

Offline

#3 2006-06-23 01:38:55

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: get the number

In what order?  For divison, that matters.


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

Offline

#4 2006-06-23 02:52:33

Pi Man
Guest

Re: get the number

2521.

To find the Least Common Multiple of two or more numbers, first get the prime factors of each of the numbers.

2 = 2
3 = 3
4 = 2 ** 2 (2 raised to the 2nd power)
5 = 5
6 = 2 * 3
7 = 7
8 = 2 ** 3 (2 raised to the 3rd power)
9 = 3 ** 3 (3 raised to the 2nd power)

Then look at each of the prime factors (2, 3, 5, and 7) and determine the highest "power" for each one.   For 2, it's 3 (8 is 2 to the 3rd power).   For 3, it's 2 (9 is 3 to the 2nd power).   For 5 and 7, it's one.    Now multiple all of these together.   (2**3) * (3**2) * 5 * 7 = 2520.  You want to have a remainder of 1, so add one to it.   

2521 / 2 = 1260 with Remainer of 1
2521 / 3 = 840 R1
2521 / 4 = 630 R1
2521 / 5 = 504 R1
2521 / 6 = 420 R1
2521 / 7 = 360 R1
2521 / 8 = 315 R1
2521 / 9 = 280 R1
2521 / 10 = 252 R1

#5 2006-06-23 04:08:46

RauLiTo
Member
Registered: 2006-01-11
Posts: 142

Re: get the number

brilliant PI MAN !!! u r really creative
thanks alot


ImPo$$!BLe = NoTH!nG
Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...

Offline

#6 2006-06-24 00:53:14

George,Y
Member
Registered: 2006-03-12
Posts: 1,306

Re: get the number

2520 is found on an Ancient Egyptian temple. Archaeologists infer that Ancient Egyptians were so good at math!
for 2520 can divide 1 to 10 and is the smallest natural number who could do this.

Last edited by George,Y (2006-06-24 00:53:43)


X'(y-Xβ)=0

Offline

Board footer

Powered by FluxBB