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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. "
Complete Graded Arithmetic - Page 300
by George Edward Atwood - 1901
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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
...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
...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 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 - Arithmetic - 1878 - 380 pages
...divisible by 2 is an even number; a number that is not divisible by 2 is an odd number. 2. A number is divisible by 3 if the sum of its digits* is divisible by 3. Thus, 285 is divisible by 3, for 2 + 8 + 5 = 15 is divisible by 3. 3. A number is divisible by 4 if...
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The Franklin Written Arithmetic

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1879 - 330 pages
...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
...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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National Arithmetic, Oral and Written: For Common and Graded Schools ...

Joseph Ficklin - Arithmetic - 1881 - 406 pages
...138. Any number is exactly divisible 1. By 2, if it ends with a cipher or a digit divisible by 2. 2. By 3, if the sum of its digits is divisible by 3. 3. By 4, if the number expressed by the two figures on the right is exactly divisible by 4. 4. By 5,...
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The Packard Commercial Arithmetic

Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 324 pages
...without a remainder. Any number is divisible 1. By 2, if it is an even number ; ae 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
...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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