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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. "
National Arithmetic, Oral and Written: For Common and Graded Schools ... - Page 90
by Joseph Ficklin - 1881 - 394 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
...Latin diyitus, 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. NOTB. Every number divisible by 9 is divisible by 3 ; but not every number divisible by 3 is divisible...
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The Complete Arithmetic: Oral and Written, Volume 1

Daniel W. Fish - Arithmetic - 1874 - 296 pages
...after dividing. Any number is divisible 1. 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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A Complete Arithmetic, Oral and Written

Malcolm MacVicar - Arithmetic - 1876 - 412 pages
...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 Elements of Arithmetic, Oral and Written: Designed for Pupils in the ...

Horatio Nelson Robinson - Arithmetic - 1877 - 250 pages
...after dividing. Any 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 - 364 pages
...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 given...
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A Practical Arithmetic

George Albert Wentworth, Thomas Hill - Arithmetic - 1881 - 446 pages
...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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The Packard Commercial Arithmetic

Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 224 pages
...former without a remainder. Any number is divisible 1. By 2, if it is an even number ; as 6, 28, and 32. 2. By 3, if the sum of its digits is divisible by 3 ; as 849 (8 + 4+9 = 21, 21 is divisible by 3), 7323, and 47892. 3. By 4, if the two right-hand figures...
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A Practical Arithmetic

George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...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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Companion to Algebra: With Numerous Examples

Leonard Marshall - Algebra - 1883 - 198 pages
...remainder as the sum of its digits when divided by 3. For .. ...+p1 +Po 3 Therefore a number is divisible by 3 if the sum of its digits is divisible by 3. (ii.) A number is divisible by 4 if its last two digits form a number which is divisible by 4. For...
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