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" A number is divisible by 3 if the sum of its digits is divisible by 3• A number is divisible by 9 if the sum of its digits is divisible by 9. "
Sweet's Modern Business Arithmetic: A Treatise on Modern and Practical ... - Page 42
by James S. Sweet - 1907 - 260 pages
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Elementary Algebra

James Hamblin Smith - Algebra - 1870 - 452 pages
...what scale is 5 1 1 1 73 written 572640 ? 7. Shew that a number in the Common scale is divisible : (1) by 3 if the sum of its digits is divisible by 3. (2) by 4 if the last two digits be divisible by 4. (3) by 8 if the last three digits be divisible by...
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The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt.d Pt.1

Adolf Sonnenschein - 1873 - 194 pages
...derived from the Latin digitut, a finger, the fingers being the natural counters. Learn by heart : A number is divisible by 3 if the sum of its digits is divisible by 3. NOTE. Every number divisible by 9 is divisible by 3 ; bat not every number divisible by 3 is divisible...
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A Complete Arithmetic, Oral and Written

Malcolm MacVicar - Arithmetic - 1876 - 412 pages
...the sum of the digits is divisible by 9, the number 486 is divisible by 9 (Prop. II). PROP. XI. — Any number is divisible by 3, if the sum of its digits is divisible by 3. This proposition is shown in the same manner as Prop. X ; as 3 divides 10, 100, 1000, etc., with a...
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The Science of Arithmetic: For High Schools, Normal Schools, Preparatory ...

Edward Olney - Arithmetic - 1876 - 316 pages
...ends with an odd digit. 146. 1. It is possible that a number ending in any figure is divisible by 3. 2. Any number is divisible by 3, if the sum of its digits is so divisible, and not otherwise. DEM. — 1. There is no digit that may not be produced in the right-hand...
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The Elements of Arithmetic, Oral and Written: Designed for Pupils in the ...

Horatio Nelson Robinson - Arithmetic - 1877 - 250 pages
...number is divisible L By 2, if it is an even number. Thus, 20, 24, 36, and 44 are divisible by 2. 2. By 3, if the sum of its digits is divisible by 3. Thus, 135,471, and 1134 are divisible by 3. 3. By 4, if its two right-hand figures are ciphers, or...
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 370 pages
...above, the first part is divisible by 3. The other part is equal to the sum of its digits. Hence a number is divisible by 3 if the sum of its digits is divisible by 3. 14. The Greatest Common Factor of Numbers (Art. 175). The method of finding the gcf of numbers, as...
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A Complete Arithmetic: Oral and Written ; Part First-second, Volume 2

Malcolm MacVicar - Arithmetic - 1878 - 266 pages
...the sum of the digits is divisible by 9, the number 486 is divisible by 9 (Prop. II). PROP. XI.—Any number is divisible by 3, if the sum of its digits is divisible by 3. This proposition is shown in the same manner as Prop. X ; as 3 divides 10, 100, 1000, etc., with a...
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver - Arithmetic - 1878 - 360 pages
...above, the first part is divisible by 3. The other part is equal to the sum of its digits. Hence a number is divisible by 3 if the sum of its digits is divisibk by S. 14. The Greatest Common Factor of Numbers (Art. 175). The method of finding the gcf...
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The Franklin Written Arithmetic

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1879 - 330 pages
...above, the first part is divisible by 3. The other part is equal to the sum of its digits. Hence a number is divisible by 3 if the sum of its digits is divisible by S. 14. The Greatest Common Factor of Numbers (Art. 175). The method of finding the gcf of numbers,...
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A Practical Arithmetic

George Albert Wentworth, Thomas Hill - Arithmetic - 1881 - 446 pages
...number is divisible by 8 (2s) if the number denoted by the last three digits is divisible by 8. 4. A number is divisible by 3 if the sum of its digits is divisible by 3. 5. A number is divisible by 9 (32) if the sum of its digits is divisible by 9. 6. A number is divisible...
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