{"id":117273,"date":"2022-06-30T11:22:55","date_gmt":"2022-06-30T05:52:55","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=117273"},"modified":"2022-05-10T14:25:14","modified_gmt":"2022-05-10T08:55:14","slug":"examples-on-multiples","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/examples-on-multiples\/","title":{"rendered":"Examples on Multiples &#8211; Definition, Meaning | Solved Questions on Multiples using Different Properties"},"content":{"rendered":"<p>Multiples are defined as the number obtained when multiplied by other numbers. Multiplication is used to find the multiples. The factor of two or more numbers results in multiple. Scroll down this page to solve the examples on <a href=\"https:\/\/ccssanswers.com\/multiples\/\">multiples<\/a>. Learn how to solve problems on multiples using different properties of multiples in the examples given below.<\/p>\n<p>Multiplication of the number = Main Number \u00d7 n; where n is an integer<\/p>\n<p>Do Read:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssanswers.com\/properties-of-multiples\/\">Properties of Multiples<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/worksheet-on-factors-and-multiples\/\">Worksheet on Factors and Multiples<\/a><\/li>\n<\/ul>\n<h3>Worked Examples on Multiples<\/h3>\n<p>Make use of the properties of multiples such as Every number is multiple in itself, Every multiple of a number is either greater than or equal to the number, Every number is a multiple of 1, etc to solve the problems given below.<\/p>\n<p><strong>Example 1.<\/strong><br \/>\nWrite first five multiples of 10.<br \/>\n<strong>Solution:<\/strong><br \/>\nThe first five multiples of 10 are<br \/>\n10 \u00d7 1 = 10<br \/>\n10 \u00d7 2 = 20<br \/>\n10 \u00d7 3 = 30<br \/>\n10 \u00d7 4 = 40<br \/>\n10 \u00d7 5 = 50<br \/>\nTherefore the first five multiples of 10 are 10, 20, 30, 40, 50.<\/p>\n<p><strong>Example 2.<\/strong><br \/>\nWrite the first three multiples of 14.<br \/>\n<strong>Solution:<\/strong><br \/>\nThe first three multiples of 14 are<br \/>\n14 \u00d7 1 = 14<br \/>\n14 \u00d7 2 = 28<br \/>\n14 \u00d7 3 = 42<br \/>\nTherefore the first three multiples of 14 are 14, 28 and 42.<\/p>\n<p><strong>Example 3.<\/strong><br \/>\nWrite the first 5 common multiples of 3 and 6.<br \/>\n<strong>Solution:<\/strong><br \/>\nM(3) = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 41, 44&#8230;.}<br \/>\nM(6) = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60&#8230;.}<br \/>\nFrom the above multiples we can write the first 5 common multiples of 3 and 6 as 6, 12, 18, 24, 30.<\/p>\n<p><strong>Example 4.<\/strong><br \/>\nWrite first five multiples of<br \/>\ni. 21\u00a0 \u00a0 \u00a0 \u00a0ii. 13\u00a0 \u00a0 \u00a0iii. 17\u00a0 \u00a0 \u00a0 \u00a0 iv. 18\u00a0 \u00a0 \u00a0 \u00a0 v. 4<br \/>\n<strong>Solution:<\/strong><br \/>\n<strong>i. 21<\/strong><br \/>\nThe first five multiples of 21 are<br \/>\n21 \u00d7 1 = 21<br \/>\n21 \u00d7 2 = 42<br \/>\n21 \u00d7 3 = 63<br \/>\n21 \u00d7 4 = 84<br \/>\n21 \u00d7 5 = 105<br \/>\nTherefore the first five multiples of 21 are 21, 42, 63, 84, 105.<br \/>\n<strong>ii. 13<\/strong><br \/>\nThe first five multiples of 13 are<br \/>\n13 \u00d7 1 = 13<br \/>\n13 \u00d7 2 = 26<br \/>\n13 \u00d7 3 = 39<br \/>\n13 \u00d7 4 = 52<br \/>\n13 \u00d7 5 = 65<br \/>\nTherefore the first five multiples of 13 are 13, 26, 39, 52, 35.<br \/>\n<strong>iii. 17<\/strong><br \/>\nThe first five multiples of 17 are<br \/>\n17 \u00d7 1 = 17<br \/>\n17 \u00d7 2 = 34<br \/>\n17 \u00d7 3 = 51<br \/>\n17 \u00d7 4 = 68<br \/>\n17 \u00d7 5 = 85<br \/>\nTherefore the first five multiples of 17 are 17, 34, 51, 68, 85.<br \/>\n<strong>iv. 18<\/strong><br \/>\nThe first five multiples of 18 are<br \/>\n18 \u00d7 1 = 18<br \/>\n18 \u00d7 2 = 36<br \/>\n18 \u00d7 3 = 54<br \/>\n18 \u00d7 4 = 72<br \/>\n18 \u00d7 5 = 90<br \/>\nTherefore the first five multiples of 18 are 18, 36, 54, 72, 90.<br \/>\n<strong>v. 4<\/strong><br \/>\nThe first five multiples of 4 are<br \/>\n4 \u00d7 1 = 4<br \/>\n4 \u00d7 2 = 8<br \/>\n4 \u00d7 3 = 12<br \/>\n4 \u00d7 4 = 16<br \/>\n4 \u00d7 5 = 20<br \/>\nTherefore the first five multiples of 4 are 4, 8, 12, 16, 20.<\/p>\n<p><strong>Example 5.<\/strong><br \/>\nFind the common multiples of 4 and 12.<br \/>\n<strong>Solution:<\/strong><br \/>\nA common multiple is a multiple that two or more numbers having a common number.<br \/>\nMultiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48&#8230;.<br \/>\nMultiples of 12 are 12, 24, 36, 48, 60, 72, 84,&#8230;<br \/>\nThus the common multiples of 4 and 12 are 12, 24, 36, 48.<\/p>\n<p><strong>Example 6.<\/strong><br \/>\nWrite three common multiples of 6 and 8.<br \/>\n<strong>Solution:<\/strong><br \/>\nA common multiple is a multiple that two or more numbers having a common number.<br \/>\nMultiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48,&#8230;<br \/>\nMultiples of 8 are 8, 16, 24, 32, 40, 48,&#8230;.<br \/>\nThus the common multiples of 6 and 8 are 24, 48.<\/p>\n<p><strong>Example 7.<\/strong><br \/>\nProve that every number is multiple in itself.<br \/>\n<strong>Solution:<\/strong><br \/>\nLet us solve some problems to prove that every number is multiple in itself.<br \/>\n22 \u00d7 1 = 22<br \/>\n4656 \u00d7 1 = 4656<br \/>\n9 \u00d7 1 = 9<br \/>\n59 \u00d7 1 = 59<br \/>\nBy writing this product we can say that any number multiplied by 1 will be always the same number.<\/p>\n<p><strong>Example 8.<\/strong><br \/>\nWrite the first ten multiples of 7<br \/>\n<strong>Solution:<\/strong><br \/>\nThe first ten multiples of 7 are<br \/>\n7 \u00d7 1 = 7<br \/>\n7 \u00d7 2 = 14<br \/>\n7 \u00d7 3 = 21<br \/>\n7 \u00d7 4 = 28<br \/>\n7 \u00d7 5 = 35<br \/>\n7 \u00d7 6 = 42<br \/>\n7 \u00d7 7 = 49<br \/>\n7 \u00d7 8 = 56<br \/>\n7 \u00d7 9 = 63<br \/>\n7 \u00d7 10 = 70<br \/>\nThus the first 10 multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.<br \/>\nM(7) = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70}<\/p>\n<p><strong>Example 9.<\/strong><br \/>\nThe numbers which are multiples of 2 are called ________<br \/>\n<strong>Solution:<\/strong><br \/>\nThe multiples of 2 are 2, 4, 6, 8, 10, 12, 14,&#8230;.<br \/>\nThus the numbers which are multiples of 2 are called Even numbers.<\/p>\n<p><strong>Example 10.<\/strong><br \/>\nWrite first five multiples of 90.<br \/>\n<strong>Solution:<\/strong><br \/>\nThe first five multiples of 90 are<br \/>\n90 \u00d7 1 = 90<br \/>\n90 \u00d7 2 = 180<br \/>\n90 \u00d7 3 = 270<br \/>\n90 \u00d7 4 = 360<br \/>\n90 \u00d7 5 = 450<br \/>\nThus the first five multiples of 90 are 90, 180, 270, 360 and 450.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Multiples are defined as the number obtained when multiplied by other numbers. Multiplication is used to find the multiples. The factor of two or more numbers results in multiple. Scroll down this page to solve the examples on multiples. 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