divisibility

Definitions

  • A 26th Division Wagon Train
    A 26th Division Wagon Train
  • WordNet 3.6
    • n divisibility the quality of being divisible; the capacity to be divided into parts or divided among a number of persons
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Additional illustrations & photos:

DIVISION OF LABOUR DIVISION OF LABOUR

Webster's Revised Unabridged Dictionary
  • Interesting fact: Except for 2 and 3, every prime number will eventually become divisible by 6 if you either add or subtract 1 from the number. For example, the number 17, plus 1, is divisible by 6. The number 19, minus 1, is also divisible by 6
    • n Divisibility The quality of being divisible; the property of bodies by which their parts are capable of separation. "Divisibility . . . is a primary attribute of matter."
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Century Dictionary and Cyclopedia
  • Interesting fact: There are 24 known "perfect" numbers. These are numbers that equal the sum of all its divisors except itself. For instance, six the lowest of these numbers is divisible by 1, 2, or 3 and 1+2+3=6. The largest of the known "perfect" numbers has 12,003 digits.
    • n divisibility The capacity of being divided or separated into parts.
    • n divisibility In arithmetic, the capacity of being exactly divided—that is, divided without remainder.
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Quotations

  • Ebenezer Elliot
    Ebenezer Elliot
    “What is a Communist? One who has yearnings for equal division of unequal earnings.”
  • Sir Max Beerbohm
    Sir%20Max%20Beerbohm
    “One might well say that mankind is divisible into two great classes: hosts and guests.”
  • Vaclav Havel
    Vaclav%20Havel
    “I really do inhabit a system in which words are capable of shaking the entire structure of government, where words can prove mightier than ten military divisions.”
  • Alexander Pope
    Alexander%20Pope
    “I find myself... hoping a total end of all the unhappy divisions of mankind by party-spirit, which at best is but the madness of many for the gain of a few.”
  • Joseph Stalin
    Joseph Stalin
    “The Pope? How many divisions has he got?”
  • Alexis De Tocqueville
    Alexis%20De%20Tocqueville
    “Grant me thirty years of equal division of inheritances and a free press, and I will provide you with a republic.”

Etymology

Webster's Revised Unabridged Dictionary
Cf. F. divisibilité,

Usage

In literature:

Our division took post in reserve, in the left centre.
"Adventures in the Rifle Brigade, in the Peninsula, France, and the Netherlands" by Captain J. Kincaid
In Division of Political History.
"Presentation Pieces in the Museum of History and Technology" by Margaret Brown Klapthor
Against these points was to be flung the Twenty-ninth Division, supported by some of the naval division.
"The Story of the Great War, Volume III (of VIII)" by Various
The Serb army opposing the Austrian invasions was composed of ten divisions of the First Ban and five divisions of the Second Ban.
"The Story of the Great War, Volume II (of VIII)" by Various
Here they were again consolidated into a division requisition, and so on until the army head-quarters was reached.
"War from the Inside" by Frederick L. (Frederick Lyman) Hitchcock
A Scottish division had been ordered to take Loos and Hill 70.
"The Story of the Great War, Volume IV (of 8)"
They have about sixty infantry divisions ready.
"The Story of the Great War, Volume V (of 8)"
The only German division here at the inception was the Forty-eighth Reserve Division.
"The Story of the Great War, Volume VI (of VIII)" by Various
Don't be bashful; you've got friends on the division if you are Irish, eh?
"Whispering Smith" by Frank H. Spearman
One of these large divisions may be called the division of health examination.
"College Teaching" by Paul Klapper
The brigade was attached to the division of General Silas Casey, all under General S.P.
"Personal Recollections of a Cavalryman" by J. H. (James Harvey) Kidd
Only a brigade is doing the work of a division, and consequently the picket-posts are not sufficiently near each other.
"Three Years in the Federal Cavalry" by Willard Glazier
Every work on Ethnology, by its divisions and subdivisions of races, bears testimony to it.
"Essays: Scientific, Political, & Speculative, Vol. I" by Herbert Spencer
The division of these leads to 8, the division of 8 to 16, and so on indefinitely.
"Special Report on Diseases of Cattle" by U.S. Department of Agriculture
A strong French division had marched into Verdun that morning, and the new volunteers were all divided among different corps.
"Through Russian Snows" by G. A Henty
Cleburn's Division was the left Division of Hardee's Corps.
"The Battle of Atlanta" by Grenville M. Dodge
In this engagement the direct assault was made by the Second Division, the other divisions swinging around on the enemy's left flank and rear.
"In The Ranks" by R. E. McBride
Cortes now divided the whole of our troops into three divisions.
"The Memoirs of the Conquistador Bernal Diaz del Castillo, Vol 2 (of 2)" by Bernal Diaz del Castillo
Meanwhile, Bulgaria's neighbors again sensed an opportune time to attack because of the internal divisions in the country.
"Area Handbook for Bulgaria" by Eugene K. Keefe, Violeta D. Baluyut, William Giloane, Anne K. Long, James M. Moore, and Neda A. Walpole
The second division, with all the stores, munitions, and heavy baggage, was to be brought on by Colonel Dunbar.
"The Student's Life of Washington; Condensed from the Larger Work of Washington Irving" by Washington Irving
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In poetry:

Though I be in the shadow still,
And you be in the sun,
Sundering divorce the more endears;
Division makes us one.
"Lines - III" by Manmohan Ghose
Thence flowed those anthems of our festal days,
Whose ravishing division held apart
The lips of listening throngs in sweet amaze,
Moved in all breasts the selfsame human heart.
"Edward Everett" by Oliver Wendell Holmes
But when the division long-settled had been,
The poet drew nigh from a far distant land;
But alas! not a remnant was now to be seen,
Each thing on the earth owned a master's command.
"The Division Of The Earth" by Friedrich von Schiller
Stop! to each man no more than one man's share.
You take that bone, and you this tooth; the chain —
Let us divide its links; this skull, of course,
In fair division, to the leader comes.
"Brothers" by James Weldon Johnson
I saw the interminable Corps—I saw the processions of armies,
I saw them approaching, defiling by, with divisions,
Streaming northward, their work done, camping awhile in clusters of
mighty camps.
"A Carol Of Harvest For 1867" by Walt Whitman
Pindar and Damon scorn transition,
So on he ran a new division;
Till out of breath he turn'd to spit; (Chance often helps us more than wit)
Th' other that lucky moment took, Just nick'd the time, broke in, and spoke.
"The Conversation. A Tale" by Matthew Prior

In news:

NORTHBROOK, IL – Blue Chip Patient Recruitment (BCPR), a division of Blue Chip Marketing Worldwide, has released a white paper to announce the results of its 2012 mobile healthcare technology Survey.
Bluestone Perennials shares quick "sneaky divisions" method good for gift giving.
The first team to pull out the flag at the end of a Dragon Boat Race in the Flag-Catching Division wins the 150-meter competition.
The store will be at 227 Bobby Jones Expressway, said Thom Behtz, the division vice president of the chain.
Jacob Leinenkugel Brewing Co. A division of MillerCoors' Tenth and Blake Brewing Co.
Permit holders must file an application for transfer of ownership or ownership and location with the Division of Liquor Control when they sell the permit business to another.
US-Israel divisions over Iran boil over .
Cody, 17, (right) will race in the wheelchair division, along with his dad, Larry.
Medina Journal-Register — The Medina Colts bested the Newfane Thunder 26-8 Saturday at Vets Park to complete a perfect 8-0 North Division title season in the Mini Division of the Niagara Orleans Footall Association.
Castaway , the least experienced of two Bob Baffert trainees shipped to Oaklawn Park for the two divisions of the Southwest Stakes (gr III VIDEO), rolled to a convincing 3 3/4-length triumph in the first division of the Arkansas Derby (gr.
Chicken Sandwich with Warm Bacon Fig Jam By Chef Jeff Bland, Division Chef, US Foods, Roanoke Division.
The Yankees clinched a playoff berth over the weekend, but in the era of the scary one-game Wild Card round, only a division crown guarantees a team a spot in the division series.
6 A number is divisible by 6 if and only if it is divisible by both 2 and 3 (that is, it's an even number divisible by 3).
Because the digital root of 24598176 is 6, which is divisible by 3, the original number must be divisible by 3.
Because 76 is divisible by 4, 24598176 is divisible by 4.
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In science:

A number is divisible by 3373 if − 2361 times the last digit of the number added to the rest of the number is divisible by 3373.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3433 if − 2403 times the last digit of the number added to the rest of the number is divisible by 3433.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3467 if − 1040 times the last digit of the number added to the rest of the number is divisible by 3467.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3517 if − 1055 times the last digit of the number added to the rest of the number is divisible by 3517.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3617 if − 1085 times the last digit of the number added to the rest of the number is divisible by 3617.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3659 if − 3293 times the last digit of the number added to the rest of the number is divisible by 3659.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3697 if − 1109 times the last digit of the number added to the rest of the number is divisible by 3697.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3733 if − 2613 times the last digit of the number added to the rest of the number is divisible by 3733.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3779 if − 3401 times the last digit of the number added to the rest of the number is divisible by 3779.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3823 if − 2676 times the last digit of the number added to the rest of the number is divisible by 3823.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 3863 if − 2704 times the last digit of the number added to the rest of the number is divisible by 3863.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 4073 if − 2851 times the last digit of the number added to the rest of the number is divisible by 4073.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 4327 if − 1298 times the last digit of the number added to the rest of the number is divisible by 4327.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 4363 if − 3054 times the last digit of the number added to the rest of the number is divisible by 4363.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
A number is divisible by 4421 if 442 times the last digit of the number added to the rest of the number is divisible by 4421.
Simple Divisibility Rules for the 1st 1000 Prime Numbers
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