{"id":1861,"date":"2020-11-10T02:33:28","date_gmt":"2020-11-10T02:33:28","guid":{"rendered":"https:\/\/themindpalace.in\/?p=1861"},"modified":"2021-08-26T05:36:29","modified_gmt":"2021-08-26T05:36:29","slug":"factors-and-multiples","status":"publish","type":"post","link":"https:\/\/themindpalace.in\/index.php\/2020\/11\/10\/factors-and-multiples\/","title":{"rendered":"Factors and Multiples"},"content":{"rendered":"\n

Summary of factors and multiples<\/a><\/p>\n\n\n\n

Solved exercise of factors and multiples<\/a><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Summary<\/h1>\n\n\n\n

Multiplying two whole numbers gives a products. The numbers that we multiply are the\u00a0factors<\/em>\u00a0of the product.<\/p>\n\n\n\n

Example: 3 \u00d7 5 = 15<\/span><\/p>\n\n\n\n

therefore, 3 and 5 are the factors of 15.<\/p>\n\n\n\n

Example 2: What are the factors of 12?
3 \u00d7 4 = 12, so 3 and 4 are factors of 12<\/span><\/p>\n\n\n\n

2 \u00d7 6 = 12, so 2 and 6 are also factors of 12
and 1 \u00d7 12 = 12, so 1 and 12 are factors of 12 as well.<\/p>\n\n\n\n

Example 3:<\/p>\n\n\n\n

1,2,3,4,6, and 12 then  what is 12 called with respect to 1,2,3,4,5 and 12<\/span><\/p>\n\n\n\n

1×2=12<\/p>\n\n\n\n

2×6=12<\/p>\n\n\n\n

3×4=12<\/p>\n\n\n\n

4×3=12<\/p>\n\n\n\n

6×2=12<\/p>\n\n\n\n

12×1=12<\/p>\n\n\n\n

So 12 is the multiple of 1,2,3,4,6, and 12<\/span><\/strong><\/p>\n\n\n\n

Example: Which are the two numbers to be multiplied to get the product 8 ?<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Factor tree<\/span><\/strong><\/p>\n\n\n\n

Any number can be expressed as product of two numbers . This can be represented diagrammatically by factor tree.<\/p>\n\n\n\n

\n\n\n\n

Exercise 4.1<\/span><\/strong><\/h1>\n\n\n\n

Circle the multiples of 4  with blue color,  shade  the multiples of 6 with red colour and underline the multiples of 9 with a Green color.<\/p>\n\n\n\n

\n\n\n\n

1) Multiples of 4<\/strong><\/span><\/p>\n\n\n\n

Ans:<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\n\n\n\n

2) Multiplies of 6<\/span><\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\n\n\n\n

3) Multiples of 9<\/span><\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\n\n\n\n

2. Circle the multiples of 7 in the following numbers.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\n\n\n\n

3. Circle the multiples of 12 in the following<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\n\n\n\n

4. Write the multiples of 2 between numbers 50 and 60<\/p>\n\n\n\n

Ans:       52,          54,          56,          58<\/span><\/strong><\/p>\n\n\n\n

\n\n\n\n

5. Write the multiples of 15 between number 50 and 100<\/p>\n\n\n\n

Ans:       60,          75,          90<\/span><\/strong><\/p>\n\n\n\n

\n\n\n\n

6.Write five multiples of the following numbers<\/p>\n\n\n\n

 15,         17,          19,          23<\/p>\n\n\n\n

\n\n\n\n

Ans: 5 Multiples of 15 are 15,30,45,60,and 75<\/span><\/p>\n\n\n\n

         5 Multiples of 17 are 17,  34,51,68   ,85<\/span><\/p>\n\n\n\n

         5 Multiples of 19 are 19,38,57,76,and 95<\/span><\/p>\n\n\n\n

         5 Multiples of 23 are 23,46,69,92 and 115<\/span><\/p>\n\n\n\n

\n\n\n\n

7. Find which of the following numbers are factors of 24?<\/p>\n\n\n\n

Ans: 1,            2,            3,            4,            6,            8,            12 and   24<\/span><\/p>\n\n\n\n

\n\n\n\n

8. Write any two factors of the following numbers<\/p>\n\n\n\n

6,            18,          28,          36,          42,          48<\/p>\n\n\n\n

\n\n\n\n

Ans: Factor of 6 is 2 and 3<\/span><\/p>\n\n\n\n

Factor of 18 is 2 and 9<\/span><\/p>\n\n\n\n

Factor of 28 are 2 and 14<\/span><\/p>\n\n\n\n

Factor of 36 are 3 and 12<\/span><\/p>\n\n\n\n

Factor of 42 are 2 and 21<\/span><\/p>\n\n\n\n

Factor of 48 are 2 and 24<\/span><\/p>\n\n\n\n

\n\n\n\n

9. Write  all the factors of the following number 9, 13, 20, 26, 36<\/p>\n\n\n\n

Ans: Factors of 9 are 1,3,9<\/p>\n\n\n\n

Factors of 13 are 1, 13<\/span><\/p>\n\n\n\n

Factors of 20 are 1,2,4,5,10,20<\/span><\/p>\n\n\n\n

Factors of 26 are 1,2,13,and 26<\/span><\/p>\n\n\n\n

Factors of 40 are 1,2,4,5,8,10,20,40.<\/span><\/p>\n\n\n\n

\n\n\n\n

10. Write the factor tree for the following numbers.<\/p>\n\n\n\n

a)12<\/span><\/strong><\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n
\n\n\n\n

b)20<\/span><\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n
\n\n\n\n

c)28<\/span><\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n
\n","protected":false},"excerpt":{"rendered":"

Summary of factors and multiples Solved exercise of factors and multiples Summary Multiplying two whole numbers gives a products. The numbers that we multiply are the\u00a0factors\u00a0of the product. Example: 3 \u00d7 5 = 15...<\/p>\n","protected":false},"author":3,"featured_media":1873,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[114,475,14],"tags":[176,223],"class_list":["post-1861","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-5th-class-ncert-syllabus","category-posts-in-english","category-mathematics","tag-5th-std-maths","tag-5th-std-maths-factors-and-multiplies"],"cp_meta_data":{"_edit_lock":["1629956189:2"],"_thumbnail_id":["1873"],"_last_editor_used_jetpack":["block-editor"],"_jetpack_related_posts_cache":["a:1:{s:32:\"8f6677c9d6b0f903e98ad32ec61f8deb\";a:2:{s:7:\"expires\";i:1782210332;s:7:\"payload\";a:3:{i:0;a:1:{s:2:\"id\";i:2962;}i:1;a:1:{s:2:\"id\";i:1490;}i:2;a:1:{s:2:\"id\";i:2016;}}}}"],"_edit_last":["2"]},"jetpack_featured_media_url":"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/11\/Slide3-1.jpg","jetpack-related-posts":[{"id":2962,"url":"https:\/\/themindpalace.in\/index.php\/2021\/02\/26\/decimal-fractions\/","url_meta":{"origin":1861,"position":0},"title":"DECIMAL FRACTIONS","author":"Nancy Diana","date":"February 26, 2021","format":false,"excerpt":"Summary of decimal fraction Solved exercise of decimal fraction Summary Decimal fraction\u00a0is a\u00a0fraction\u00a0whose denominator is 10 or a multiple of 10 like 100, 1,000, 10,000, etc. Decimals can also be used to write numbers between any two whole numbers. 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