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" Similarly, if the sum of the digits of a number is divisible by 3, the number is divisible by 3. "
Beginners' Algebra - Page 142
by Clarence Elmer Comstock, Mabel Sykes - 1922 - 303 pages
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806 - 526 pages
...x : Euler however, has found the theorem 32 defective when x — 32, for 2 + 1 = 641 x 6700117815. If the sum of the digits of a number is divisible by 9, the number itself is also divisible by 9. Let a, b, c, d, be the digits of a number consisting of 4 figures ;...
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A Course of Mathematics: Designed for the Use of the Officers ..., Volumes 1-2

Isaac Dalby - Mathematics - 1807 - 968 pages
...however, has found the theorem 32 -»• •' * defective when x = 33, for 8 + 1 = 641 x 6700417« 815. If the sum of the digits of a number is divisible by g, the number itself is also divisible by 9. Let a, b, t, d, be the digili of a number consisting of...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...when N is divided by 9, is the remainder when a + 5 + c + <Z+...is divided by 9. (445.) 1 Hence when the sum of the digits of a number is divisible by 9, so is the number itself.1 The same property belongs to the number 3. (446.) 1 The remainder, on dividing...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...formulas, in which / denotes the length of the edge, s the area of the surface, and в the volume : 5. If the sum of the digits of a number is divisible by cither 3. or 9, the number itself will also be divisible by the same number, 3 or 9 6. If a number...
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A Treatise on Arithmetic: Through which the Entire Science Can be Most ...

Noble Heath - Arithmetic - 1856 - 472 pages
...by the three right-hand figures of a number, 8 mtasures the number. 8. When the sum of the figures of a number is divisible by 9, the number is divisible by 9, (113.) Also, the difference between a number and the same number reversed, is, when n»ta, cypher,...
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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...Division by casting out the 9's are founded. (g) The properties given for 9 are equally true for 3 ; ie if the sum of the digits of a number is divisible by 3, the number is itself divisible by 3, and if the sum of the digits divided by 3 gives a remainder,...
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First book of arithmetic for the use of schools. [With] Key. High-school ed ...

Ireland commissioners of nat. educ - 1865 - 184 pages
...When the three right-hand figures are divisible by 8 the whole number is divisible by 8. 6th. When the sum of the digits of a number is divisible by 9 the sum itself is divisible by 9 or 3. 7th. When the sum of the digits of a number is divisible by 3 the...
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Complete Arithmetic: Theoretical and Practical

William Guy Peck - Arithmetic - 1877 - 430 pages
...3.136. NOTE. — If the final digit of a number is 0, 2, 4, 6, or 8, the num ber is divisible by 2. If the sum of the digits of a number is divisible by 3, the number itself is divisible by 3. If the final digit of a number is 5, the number is divisible...
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Unitary Arithmetic: Embodying the First Book of Arithmetic of the Irish ...

Alexander Kennedy Isbister - 1882 - 190 pages
...When the three right.hand figures are divisible by 8 the whole number is divisible by 8. ,•т. When the sum of the digits of a number is divisible by 9 the mm itself is divisible by 9 or 8. 7th. When the sum of the digits of a number is divisible by 3 the...
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Practical Comprehensive Arithmetic

John Alexander Luman - Arithmetic - 1914 - 366 pages
...right-hand figures of a given number, the given number is divisible by 8. 7. When the sum of the figures of a number is divisible by 9, the number is divisible by 9. 8. 1001 and its multiples, which are usually easily recognized, are divisible by 7, 11, and IS. 9....
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