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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. "
Applied Mathematics for Junior High Schools and High Schools - Page 26
by Eugene Henry Barker - 1920 - 247 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 - 374 pages
...them 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 composed of the last two digits be so divisible....
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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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The Philosophy of Arithmetic as Developed from the Three Fundamental ...

Edward Brooks - Arithmetic - 1876 - 588 pages
...when the right-hand term is zero or an even digit. For, the number is evidently an even number, and all even numbers are divisible by 2. 2. A number is divisible by 3 when Die sum of the numbers denoted by its digits is divisible by 3. It will be shown hereafter that...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 418 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 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 - 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 New Normal Written Arithmetic: Designed for Common Schools, Normal ...

Edward Brooks - Arithmetic - 1877 - 438 pages
...when the right hand term is zero or an even digit. For, the number is evidently an even number, and all even numbers are divisible by 2. 2. A number is divisible by 3 when the sum of the digits is divisible by 3. This may be shown by trying several numbers, and, seeing...
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The New Normal Written Arithmetic: Designed for Common Schools, Normal ...

Edward Brooks - Arithmetic - 1877 - 444 pages
...when the right hand term is zero or an even digit. For, the number is evidently an even number, and all even numbers are divisible by 2. 2. A number is divisible by 3 when the sum of the digits is divisible by 3. This may be shown by trying several numbers, and, seeing...
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