Elementary arithmetic, with brief notices of its history... by Robert Potts.

EXERCISES.
I.
1. What is the distinction between odd and even numbers, and
between prime and composite numbers?
2. Shew by examples that the sum and difference of any two odd
numbers, however large, are always even numbers. Are the product
and the quotient of two odd numbers always odd numbers?
3. When is one number said to be a measure of another? Give
examples.
4. Explain what is meant by one number being a multiple or
submultiple of another.
5. Explain what is meant by one number being prime to another.
6. When two numbers are prime to each other, are they necessarily
prime numbers? Give examples.
7. WVhat is meant by saying that one number is a coimmon mneasure
of two or more numbers? also, the greatest common mzeasure?
8. When is a number a commonn multip2le of two or more numbers,
and when the least conlmmon mnultiple?
9. State the rules for finding the greatest common measure and
least common multiple of two numbers.
10. If two numbers be respectively divided by their greatest common measure, what relation subsists between the two quotients? Is
the relation true in all cases?
II.
Find the greatest common divisor of each of the following sets of
two numbers:25 and 35: 72 and 96: 69 and 96: 531 and 135: 677 and 1788:.896 and 1344: 3458 and 3570: 6279 and 1495: 6111 and 1769:
20275 and 11390: 14133 and 16149: 13775 and 30218: 68635 and
19721: 58859 and 135894: 40033 and 129645: 29766 and 208362:
18769 and 253413: 236511 and 37499: 16897 and 58264: 4010401 and
4011203: 845315 and 265200.
III.
Find the greatest common measure of each of the following groups
of numbers:805, 1311, and 1978: 720, 336, and 1736: 837, 1134, and 1377:
714, 289, and 629: 519, 1155, and 1617: 2142, 2184, and 4620:
1813, 2793, and 20286: 1680, 1440, 1960, and 1200: 376, 940, 1034,;and 1081: 967765, 615155, 439895, and 989345.
IV.
Find the least common multiple of each of the following sets of
numbers: