 | Daniel W. Fish - Arithmetic - 1874 - 542 pages
...are ciphers, or express a number divisible by 8. Thus, 3000, 2728, and 10576 are divisible by 8. 7. By 9, if the sum of its digits is divisible by 9. Thus, 217683 and 401301 are divisible by 9. 8. By 10, if it ends with one or more ciphers. Thus, 40,... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 468 pages
...a power of 5, their sum, or the entire number, is divisible by the same power of 5, (135, II). IX. A number is divisible by 9 if the sum of its digits is divisible by 9. For, if any number, as 7245, be separated into its parts, 7000 + 200 +40+5, and each part be divided... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 496 pages
...a power of 5, their sum, or the entire number, is divisible by the same power of 5, (135, II). IX. A number is divisible by 9 if the sum of its digits is divis. ible by 9. For, if any number, as 7245, be separated into its parts, 7000 + 200 +40 + 5, and... | |
 | Lorenzo Fairbanks - 1875 - 472 pages
...8, if its three right-hand figures are ciphers, or express a number which is exactly divisible by 8. By 9, if the sum of its digits is divisible by 9. EXAMPLES FOR PRACTICE. 1. Find the prime factors of 31570. 2. Find the prime factors Of 2S665. 3. What... | |
 | Malcolm MacVicar - Arithmetic - 1876 - 412 pages
...Hence, any divisor of 1000 which will divide 625 is a divisor of 92625 (Prop. II). PEOP. X. — Any number is divisible by 9, if the sum of its digits is divisible by 9. This proposition may be shown thus : (1.) 486 = 400 +80 + 6. (2.) 100 = 99 +1 = 11 nines + 1. Hence,... | |
 | George Augustus Walton - 1876 - 358 pages
...8, the divisibility of the given number by 8 must depend on the hundreds, tens, and units. (9.) Any number is divisible by 9 if the sum of its digits is divisible by 9 * ; thus, 368451 is divisible by 9, and 23476 is not, (10.) Any number is divisible by 10, 100, or... | |
 | Edward Olney - Arithmetic - 1876 - 322 pages
...figures are 0, or if the number represented by them is 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... | |
 | James Bates Thomson - 1876 - 400 pages
...will leave the same remainder as the tum of its digits divided by 9. Hence, 10. Any number is dimsible by 9 if the sum of its digits is divisible by 9. Thus, the sum of the digits of 54378 is 5 + 4 + 3 + 7 + 8, or 27. Now, as 27 is divisible by 9, we... | |
 | Horatio Nelson Robinson - Arithmetic - 1877 - 250 pages
...are ciphers, or express a number divisible by 8. Thus, 3000, 2728, and 10576 are divisible by 8. 7. By 9, if the sum of its digits is divisible by 9. Thus, 217683 aud 401301 are divisible by 9. EXE К С I» £! S . 202. Find by inspection some of the... | |
 | Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 332 pages
...its hundreds, tens, and units are divisible by 8. Thus, 6728 is divisible by 8, while 6724 is not. 7. A number is divisible by 9 if the sum of its digits is divisible by 9. 8. A number is divisible by 11 if the sums of its alternate digits are equal, or if their difference... | |
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A number is divisible by 9 if the sum of its digits is divisible by 9. 
