Multiples – Definition<\/h2>\n
Multiples are defines are the products you get when you multiply two or more numbers. Multiples are nothing but tables of given numbers. The properties of multiples are explained step by step in the below section. Example 1.<\/strong> Solution:<\/strong> Example 2.<\/strong> Example 3.<\/strong> Example 4.<\/strong> Example 5.<\/strong> 1. Write 10 multiples of 3.<\/strong> 2. What is a multiple number?<\/strong><\/p>\n The multiples of a number are the result of the multiplication of the number by another number, therefore, a number is a multiple of another if it contains an integer number of times. 3. Write the common multiples for 2 and 3<\/strong><\/p>\n The common multiples of 2 and 3 are 6, 12, 18, 24, 30, 36, 42. The multiples of 6 will be common multiples of 2 and 3.<\/p>\n","protected":false},"excerpt":{"rendered":" Multiples are the basic level of maths which you have to learn to become a master. It is a product of two or more numbers. You can check the multiples of the given numbers with the exact divisor method. Know the definition, properties of multiples in this article. Know the difference between factors and multiples … Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":117293,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/06\/Properties-of-Multiples.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/117240"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=117240"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/117240\/revisions"}],"predecessor-version":[{"id":135468,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/117240\/revisions\/135468"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/117293"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=117240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=117240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=117240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nExample:<\/strong> Product of 2 and 5
\n2 \u00d7 5 = 10
\nHere 10 is multiple.
\nThus the multiples of 2 and 5 are 10.<\/p>\nChart of Properties of Multiples<\/h3>\n
![\"Chart](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/06\/Chart-of-Properties-of-Multiples.png\")
<\/p>\nProperties of Multiples<\/h3>\n
\nProperty 1.<\/strong>
\n1 is a factor of every number
\nExample:<\/strong>
\n1 \u00d7 42 = 42
\n1 \u00d7 524 = 524
\n1 \u00d7 9 = 9
\nWe get the given number when we multiple 1 with any number.
\nProperty 2.<\/strong>
\nEvery number is a factor in itself.
\nExample: <\/strong>
\n464 = 1 \u00d7 464
\n24 = 1 \u00d7 24
\nWe know that 1 is a factor, so that means we get the same result when we multiply with 1.
\nTherefore every number is a factor in itself.
\nProperty 3.<\/strong>
\nEvery factor of a number is an exact divisor of that number.
\nExample:<\/strong>
\nFactors of 10 are 1, 2, 5, 10.
\nProperty 4.<\/strong>
\nFactors of a given number are finite.
\nExample:<\/strong> Factors of 8 are 1, 2, 4, 8 only.
\nProperty 5.<\/strong>
\nEvery factor of a number is less than or equal to the number.
\nExample:<\/strong>
\nLet us take the factors of 6 are 1, 2, 3 and 6.
\n2 \u00d7 3 = 6
\nHere 2 and 3 are less than 6.
\n1 \u00d7 6 = 6
\nHere 6 is equal to 6.
\nTherefore the above example satisfies the property “Every factor of a number is less than or equal to the number.”
\nProperty 6.<\/strong>
\nThe number of multiples of a given number is infinite.
\nFor example, let us write the multiples of 2
\nM(2) = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22,…..}
\nAs we know that the numbers are infinite the multiples of 2 will be infinite.
\nThus it shows that “The number of multiples of a given number is infinite.”
\nProperty 7.<\/strong>
\nEvery number is a multiple of itself.
\nProperty 8.<\/strong>
\nAny number multiplied by 0 will be always 0.
\nExample:
\n<\/strong>For example, when we multiply 2 with 0 we get 0.
\n0 \u00d7 2 = 0
\nWhen we multiply 0 with 649 we get 0.
\n0 \u00d7 649 = 0
\nWhen we multiply 25 with 0 we get 0.
\n25 \u00d7 0 = 0
\nWhen we multiply 16 with 0 we get 0.
\n16 \u00d7 0 = 0
\nProperty 9.<\/strong>
\nEvery multiple of a number is greater than or equal to that number.
\nFor example, we multiply 24 with 2
\n24 \u00d7 2 = 48
\n48 is greater than 24.
\n24 \u00d7 1 = 24
\n24 is equal to 24.
\nThus it satisfies the property that “Every multiple of a number is greater than or equal to that number”<\/p>\nDifference Between Factors and Multiples<\/h3>\n
\n\n
\n Factors<\/strong><\/td>\n Multiples<\/strong><\/td>\n<\/tr>\n \n 1. Factors are defines as the exact divisors of a number.<\/td>\n 1. Multiples are defined as the product you get when you multiply two or more numbers.<\/td>\n<\/tr>\n \n 2. The operation used to find the factors of a number is division.<\/td>\n 2. The operation used to find the multiples is multiplication.<\/td>\n<\/tr>\n \n 3. The outcome of the factors should be less than or equal to the given number.<\/td>\n 3. The outcomes of the multiples should be greater than or equal to the given number.<\/td>\n<\/tr>\n \n 4. The number of factors is finite.<\/td>\n 4. The number of multiples is infinite.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n Examples of Properties of Multiples<\/h3>\n
\nWrite 5 multiples of
\ni). 12\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0ii). 5\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0iii). 9\u00a0 \u00a0 \u00a0 \u00a0 \u00a0iv). 15\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0v). 3<\/p>\n
\ni. 12<\/strong>
\n12 \u00d7 1 = 12
\n12 \u00d7 2 = 24
\n12 \u00d7 3 = 36
\n12 \u00d7 4 = 48
\n12 \u00d7 5 = 60
\nii. 5<\/strong>
\n5 \u00d7 1 = 5
\n5 \u00d7 2 = 10
\n5 \u00d7 3 = 15
\n5 \u00d7 4 = 20
\n5 \u00d7 5 = 25
\niii. 9<\/strong>
\n9 \u00d7 1 = 9
\n9 \u00d7 2 = 18
\n9 \u00d7 3 = 27
\n9 \u00d7 4 = 36
\n9 \u00d7 5 = 45
\niv. 15<\/strong>
\n15 \u00d7 1 = 15
\n15 \u00d7 2 = 30
\n15 \u00d7 3 = 45
\n15 \u00d7 4 = 60
\n15 \u00d7 5 = 75
\nv. 3<\/strong>
\n3 \u00d7 1 = 3
\n3 \u00d7 2 = 6
\n3 \u00d7 3 = 9
\n3 \u00d7 4 = 12
\n3 \u00d7 5 = 15<\/p>\n
\nWrite the properties of multiples of 3
\nSolution:<\/strong>
\nBy using the properties we can know the multiples of 3, which indicates that by adding their figures the result can be 3, 6 or 9 is a multiple of 3.
\nM(3) = {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,\u2026}
\nNumber 30: 3 + 0 = 3, 3 is a multiple of itself.
\nNumber 27: 2 + 7 = 9, 9 is a multiple of 3.
\nNumber 24: 2 + 4 = 6, 6 is a multiple of 3.
\nNumber 21: 2 + 1 = 3,3 is a multiple of 3.
\nNumber 18: 1 + 8 = 9,9 is a multiple of 3.
\nNumber 15: 1 + 5 = 6,3 is a multiple of 3.
\nNumber 12: 1 + 2 = 3,3 is a multiple of 3.<\/p>\n
\nWrite the properties of multiples of 6.
\nSolution:<\/strong>
\n6 \u00d7 1 = 6
\n6 \u00d7 2 = 12
\n6 \u00d7 3 = 18
\n6 \u00d7 4 = 24
\n6 \u00d7 5 = 30
\n6 \u00d7 6 = 36
\n6 \u00d7 7 = 42
\n6 \u00d7 8 = 48
\n6 \u00d7 9 = 54
\n6 \u00d7 10 = 60
\nM(6) = {0,6, 12, 18, 24, 30, 36, 42, 48, 54, 60….}<\/p>\n
\nWrite the properties of multiples of 9.
\nSolution:<\/strong>
\nBy using the properties we can know the multiples of 9, which indicates that by adding their figures the result can be 9 is a multiple of 9.
\nM(9) = {0, 9, 18, 27, 36, 45, 54,….}
\nNumber 9: 9 + 0 = 9,9 is a multiple of 9.
\nNumber 18: 1 + 8 = 9,9 is a multiple of 9.
\nNumber 27: 2 + 7 = 9, 9 is a multiple of 9.
\nNumber 36: 3 + 6 = 9, 9 is a multiple of 9.
\nNumber 45: 4 + 5 = 9, 9 is a multiple of 9.<\/p>\n
\nWrite the 10 multiples of 5.
\nSolution:<\/strong>
\n5 \u00d7 1 = 5
\n5 \u00d7 2 = 10
\n5 \u00d7 3 = 15
\n5 \u00d7 4 = 20
\n5 \u00d7 5 = 25
\n5 \u00d7 6 = 30
\n5 \u00d7 7 = 35
\n5 \u00d7 8 = 40
\n5 \u00d7 9 = 45
\n5 \u00d7 10 = 50
\nTherefore M(5) = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50}<\/p>\nFAQs on Properties of Multiples<\/h3>\n
\n3 \u00d7 1 = 3
\n3 \u00d7 2 = 6
\n3 \u00d7 3 = 9
\n3 \u00d7 4 = 12
\n3 \u00d7 5 = 15
\n3 \u00d7 6 = 18
\n3 \u00d7 7 = 21
\n3 \u00d7 8 = 24
\n3 \u00d7 9 = 27
\n3 \u00d7 10 = 30
\nThus M(3) = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30<\/p>\n
\nMultiple of the number = main number \u00d7 n<\/p>\n