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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. "
A Practical Arithmetic - Page 107
by George Albert Wentworth, Thomas Hill - 1882 - 351 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 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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An elementary course of arithmetic. (With Key).

Richard Rickard - 1873 - 372 pages
...are called their prime factors. 34. Test of divisibility : — Every even number is divisible by 2. A number is divisible by 3 if the sum of its digits be so divisible. A number is divisible by 4 if the number conv A number is divisible by 8 if the number...
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A Complete Arithmetic, Oral and Written

Malcolm MacVicar - Arithmetic - 1876 - 412 pages
...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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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 392 pages
...not divisible by 9 wheu the sum of the digits ia not so divisiblo. As 9 is 3 times 3, it follows that a number is divisible by 3 if the sum of its digits be divisible Ly 3.1 Next, let the number 63547 be taken, and let it be divided into parts which are...
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The Science of Arithmetic: For High Schools, Normal Schools, Preparatory ...

Edward Olney - Arithmetic - 1876 - 316 pages
...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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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 402 pages
...not divisible by 9 whoa the sum of the digits is not so divisible. As 9 is 3 times 3, it follows that a number is divisible by 3 if the sum of its digits be divisible Ly 3.1 Next, let the number 63547 be taken, and let it be divided intoparts which are...
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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
...that is 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: With Examples for Oral Practice

Edwin Pliny Seaver - Arithmetic - 1878 - 360 pages
...shown 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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