{"id":147847,"date":"2024-10-03T13:02:11","date_gmt":"2024-10-03T13:02:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=147847"},"modified":"2024-10-03T13:02:13","modified_gmt":"2024-10-03T13:02:13","slug":"what-is-the-total-prime-numbers-between-130-and-150","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/03\/what-is-the-total-prime-numbers-between-130-and-150\/","title":{"rendered":"What is the total prime numbers between 130 and 150"},"content":{"rendered":"\n

What is the total prime numbers between 130 and 150 ?<\/p>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

To find the total number of prime numbers between 130 and 150, we first need to understand what a prime number is. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number cannot be formed by multiplying two smaller natural numbers.<\/p>\n\n\n\n

Identifying Prime Numbers between 130 and 150<\/h3>\n\n\n\n

We will check each number between 130 and 150 to see if it is prime:<\/p>\n\n\n\n

    \n
  1. 131<\/strong>: The divisors to check are 2, 3, 5, 7, 11. None divide evenly into 131, so it is prime.<\/li>\n\n\n\n
  2. 132<\/strong>: Even number (divisible by 2), not prime.<\/li>\n\n\n\n
  3. 133<\/strong>: Divisible by 7 (133 = 7 \u00d7 19), not prime.<\/li>\n\n\n\n
  4. 134<\/strong>: Even number, not prime.<\/li>\n\n\n\n
  5. 135<\/strong>: Divisible by 5 (135 = 5 \u00d7 27), not prime.<\/li>\n\n\n\n
  6. 136<\/strong>: Even number, not prime.<\/li>\n\n\n\n
  7. 137<\/strong>: Check divisors up to \u221a137 (approximately 11.7). None divide evenly, so it is prime.<\/li>\n\n\n\n
  8. 138<\/strong>: Even number, not prime.<\/li>\n\n\n\n
  9. 139<\/strong>: Check divisors up to \u221a139 (approximately 11.8). None divide evenly, so it is prime.<\/li>\n\n\n\n
  10. 140<\/strong>: Even number, not prime.<\/li>\n\n\n\n
  11. 141<\/strong>: Divisible by 3 (141 = 3 \u00d7 47), not prime.<\/li>\n\n\n\n
  12. 142<\/strong>: Even number, not prime.<\/li>\n\n\n\n
  13. 143<\/strong>: Divisible by 11 (143 = 11 \u00d7 13), not prime.<\/li>\n\n\n\n
  14. 144<\/strong>: Even number, not prime.<\/li>\n\n\n\n
  15. 145<\/strong>: Divisible by 5 (145 = 5 \u00d7 29), not prime.<\/li>\n\n\n\n
  16. 146<\/strong>: Even number, not prime.<\/li>\n\n\n\n
  17. 147<\/strong>: Divisible by 3 (147 = 3 \u00d7 49), not prime.<\/li>\n\n\n\n
  18. 148<\/strong>: Even number, not prime.<\/li>\n\n\n\n
  19. 149<\/strong>: Check divisors up to \u221a149 (approximately 12.2). None divide evenly, so it is prime.<\/li>\n<\/ol>\n\n\n\n

    Summary of Prime Numbers<\/h3>\n\n\n\n

    The prime numbers identified between 130 and 150 are:<\/p>\n\n\n\n

      \n
    • 131<\/li>\n\n\n\n
    • 137<\/li>\n\n\n\n
    • 139<\/li>\n\n\n\n
    • 149<\/li>\n<\/ul>\n\n\n\n

      Conclusion<\/h3>\n\n\n\n

      In total, there are four prime numbers<\/strong> between 130 and 150: 131, 137, 139, and 149<\/strong>. This exercise illustrates the systematic approach to identifying prime numbers within a specified range, emphasizing the importance of checking for divisibility against known prime numbers up to the square root of the target number.<\/p>\n","protected":false},"excerpt":{"rendered":"

      What is the total prime numbers between 130 and 150 ? The Correct Answer and Explanation is : To find the total number of prime numbers between 130 and 150, we first need to understand what a prime number is. A prime number is defined as a natural number greater than 1 that has no […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-147847","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147847","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=147847"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147847\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=147847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=147847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=147847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}