 | 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... | |
 | 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,... | |
 | Edward Olney - Arithmetic - 1876 - 324 pages
...number represented by them ij divisible by 8, and not otherwise. 152. Any number is divisible by 9 if the sum of its digits is so divisible, and not otherwise. For demonstration see (134). Let the student adapt that demonstration to this statement. 153. Any number... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 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... | |
 | Emerson Elbridge White - Arithmetic - 1883 - 368 pages
...2 if its last digit is even. 2. A number is divisible by 5 if its last digit is cither 5 or 0. 3. A number is divisible by 3 if the sum of its digits is divisible by 3. 4. If any prime number be divided by 6, the remainder will be either 1 or 5. NOTE.... | |
 | Leonard Marshall - Algebra - 1883 - 198 pages
...leaves the same 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... | |
 | George Albert Wentworth - Arithmetic - 1886 - 392 pages
...number is divisible by 8 (23) 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... | |
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A number is divisible by 3 if the sum of its digits is divisible by 3. 
