{"id":264887,"date":"2025-07-21T16:52:09","date_gmt":"2025-07-21T16:52:09","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=264887"},"modified":"2025-07-21T16:52:11","modified_gmt":"2025-07-21T16:52:11","slug":"list-all-divisors-of-the-following-integers-28","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/list-all-divisors-of-the-following-integers-28\/","title":{"rendered":"List all divisors of the following integers 28"},"content":{"rendered":"\n<p>List all divisors of the following integers 28<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The divisors of 28 are the integers that divide 28 evenly, meaning without leaving a remainder. To find the divisors of 28, start by finding all of the numbers that can divide it.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the prime factorization of 28.<\/h3>\n\n\n\n<p>28 can be factored as follows: 28=2\u00d72\u00d77=22\u00d7728 = 2 \\times 2 \\times 7 = 2^2 \\times 7<\/p>\n\n\n\n<p>This means that 28 is divisible by both 2 and 7.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: List all divisors.<\/h3>\n\n\n\n<p>To find all the divisors of 28, consider all the combinations of powers of its prime factors (2 and 7). The divisors will include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>20\u00d770=12^0 \\times 7^0 = 1<\/li>\n\n\n\n<li>21\u00d770=22^1 \\times 7^0 = 2<\/li>\n\n\n\n<li>22\u00d770=42^2 \\times 7^0 = 4<\/li>\n\n\n\n<li>20\u00d771=72^0 \\times 7^1 = 7<\/li>\n\n\n\n<li>21\u00d771=142^1 \\times 7^1 = 14<\/li>\n\n\n\n<li>22\u00d771=282^2 \\times 7^1 = 28<\/li>\n<\/ul>\n\n\n\n<p>Thus, the divisors of 28 are:<br><strong>1, 2, 4, 7, 14, and 28.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Verify the divisors.<\/h3>\n\n\n\n<p>You can verify these divisors by dividing 28 by each of them:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>28\u00f71=2828 \\div 1 = 28<\/li>\n\n\n\n<li>28\u00f72=1428 \\div 2 = 14<\/li>\n\n\n\n<li>28\u00f74=728 \\div 4 = 7<\/li>\n\n\n\n<li>28\u00f77=428 \\div 7 = 4<\/li>\n\n\n\n<li>28\u00f714=228 \\div 14 = 2<\/li>\n\n\n\n<li>28\u00f728=128 \\div 28 = 1<\/li>\n<\/ul>\n\n\n\n<p>Since each division results in an integer with no remainder, all of these are indeed divisors of 28.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The divisors of 28 are the numbers 1, 2, 4, 7, 14, and 28. These are all the integers that divide 28 evenly.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>List all divisors of the following integers 28 The correct answer and explanation is: The divisors of 28 are the integers that divide 28 evenly, meaning without leaving a remainder. To find the divisors of 28, start by finding all of the numbers that can divide it. Step 1: Find the prime factorization of 28. 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