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What number containing the numbers 1 through 9 with all numbers only used once is divisible by all the numbers from 1 through 9?
36288 WRONG!(1*2*3*4*5*6*7*8*9)/10 WRONG!I obviously misreads the question. after writing a simple visual basic program, see below. I am changing my answer to "does not exist." as the program failed to return a value.Private Sub Command0_Click()Dim i As Longi = 1Do While i Mod 9 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 8 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 7 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 6 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 5 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 4 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 3 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 2 > 0 Or i Mod 10 = 0i = i + 1LoopLoopLoopLoopLoopLoopLoopLoopMsgBox iEnd Sub
What ones digit when you multiply 100 nines together?
9100 mod 10 = (910 mod 10)10 mod 10 = 110 mod 10 = 1. Thus 1 is the ones digit in 9100.
How do you find pairs of numbers which are equal?
Numbers. i^n = i^(n mod 4). With n = 27, 27 mod 4...
PROVE THAT nnn-n is divisible by 6?
A number is divisible by 6 if it is divisible by 2 and 3. Look at 333-3 which is 330 The sum of the digits is 6 and it is even so it is divisible by 6 Now consider 222-2 which I picked because unlike 333, 222 has even digits. 222-2=220, one again even number so divisible by 2 but NOT divisible by 3 so NOT divisible by 6 So it look like this is not true for all n For any odd n, we have the following 1. nnn-n ends in 0 so it is even if we can show it is divisible by 3 we are done. but 777-7 is 770 which is NOT divisible by 3 so it is NOT true. For some n it is true, but not for all n... Now when will nnn-n be divisible by 3. only when n+n is a multiple of 3, ie n=33,66, 99 an that is it! So we could easily prove that nnn-n is divisible by 6 if and only if n=3,6,or 9 ----------------------------- If by nnn, you mean n3, a proof is as follows: n=0,1,2,3,4, or 5 (mod 6) If n=0 (mod 6), we have (0 (mod 6))((0(mod 6))2-1)=0 (mod 6). [Since the first term is zero] If n=1 (mod 6), we have (1 (mod 6))((1(mod 6))2-1)=0 (mod 6) [Since 1-1=0]. If n=2 (mod 6), we have (2 (mod 6))((2(mod 6))2-1)=(2*3) (mod 6) = 6 (mod 6)=0 (mod 6). If n=3 (mod 6), we have (3 (mod 6))((3(mod 6))2-1)=(3*8) (mod 6) = 24 (mod 6) = 0 (mod 6). If n=4 (mod 6), we have (4 (mod 6))((4(mod 6))2-1)=(4*15) (mod 6) = 60 (mod 6) = 0 (mod 6). If n=5 (mod 6), we have (5 (mod 6))((5(mod 6))2-1)=(5*24) (mod 6) = 120 (mod 6) = 0 (mod 6). If you're not comfortable with the modular arethmetic, you can substitue 6m+_, where the blank is each of the numbers 0 through 5 (since every number can be expressed either as a multiple of six, or as a multiple of six plus some number between 1 and 5 --the remainder when the number is divided by six). Taking our example with 5, you would get: (n)(n2-1) can be written as (6m+5)((6m+5)2-1), where m is an integer. Simplifying this, you get: (6m+5)((6m+5)2-1) (6m+5)((6m2+60m+25-1) 6m*6m2+6m*60m+6m*25-6m+5*6m2+5*60m+5*25+5(-1) 6m*6m2+6m*60m+6m*25-6m+5*6m2+5*60m+5*24 Since m is an integer and each term is divisible by 6, (n)(n2-1) is divisible by 6 for integers that can be expressed as 6m+5. You would then repeat the process for each of 0 through 4 to complete the proof. Clearly, if you are comfortable with it, modular arithmetic is the less cumbersome way to proceed.
What is the radical of 30?
mod Base
Trying to find a magazine for a Sears mod 36 22 cal bolt action Found was made by Marlin and their mod is 80 Will a Marlin mod 80 mag work in old Sears Ranger?
go to sears pick up a magazine and wow u have a sears magazine
Where can i find information Mod 1 cal 22 SL or LR mod no 2737010 from sears roebuck and co?
The Sears Model 1 may be a Winchester mod 121. L0ok there
Where can you find a manual for a Sears and Roebuck Model 66 shotgun?
The Sears mod. 66 was made by High Standard for Sears and is a High Standard mod. 66. If you have anymore questions please do not hesitate to email me at eagle44mag@adelphia.net. Thanks, Rick
Sears chainsaw mod 358.356331-what mod poulan chainsaw is this?
That would cross to a poulan 2800. Scott www.chainsawr.com
How many sears and roebuck 5m cal 22 win mags were made?
sears 22mag mod no273,2350
Where can you find a Sears model 53 30.06 owners manual?
A Sears Mod 53 is a Winchester Mod 70. If Sears doesn't have an owner's manual for the 53 (and you can't find one on eBay), go here http://www.stevespages.com/page7b.htm for a Winchester manual.
Where can you find a parts breakdown and availability for a Sears mod 42-103-2840-22Cal rifle?
Where can you locate a parts breakdown and availability for a Sears mod. 42-103-2840-22 caliber rifle?
What is the current value of a Sears and Roebuck JC Higgens 22LR in good condition?
What is the value of a Sears Roebuck 22SL OR LR MOD #27327010
Who is the mAker sears mod 53- 30-06 springfield rifle?
Winchester 70
Where can you find a stock for a mod 101.7 sears jc Higgins?
Try e-gunparts.com
Wher can you find a magazine for a sears 12 gauge mod?
Need model number
Where can I buy a sears roebuck mod 21 shotgun in a 20 gauge?
I have a sears and robuck 20 ga. pump with adjustable choke on the end of the barrel
