{"id":42304,"date":"2023-03-30T14:33:57","date_gmt":"2023-03-30T09:03:57","guid":{"rendered":"https:\/\/icsesolutions.com\/?p=42304"},"modified":"2023-03-31T09:58:51","modified_gmt":"2023-03-31T04:28:51","slug":"ml-aggarwal-class-6-solutions-for-icse-maths-chapter-4-ex-4-1","status":"publish","type":"post","link":"https:\/\/icsesolutions.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-4-ex-4-1\/","title":{"rendered":"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 4 Playing with Numbers Ex 4.1"},"content":{"rendered":"
Question 1.
\nFill in the blanks:
\n(i) A number having exactly two factors is called a …..
\n(ii) A number having more than two factors is called a ………
\n(iii) 1 is neither ……… nor ………
\n(iv) The smallest prime number is ………
\n(v) The smallest odd prime number is ………
\n(vi) The smallest composite number is ………
\n(vii) The smallest odd composite number is ………
\n(viii)All prime numbers (except 2) are ………
\nSolution:
\n(i) A number having exactly two factors is called a prime number.
\n(ii) A number having more than two factors is called a composite number.
\n(iii) 1 is neither prime nor composite.
\n(iv) The smallest prime number is 2.
\n(v) The smallest odd prime number is 3.
\n(vi) The smallest composite number is 4.
\n(vii) The smallest odd composite number is 9.
\n(viii) All prime numbers (except 2) are odd numbers.<\/p>\n
Question 2.
\nState whether the following statements are ture (T) or false (F):
\n(i) The sum of three odd numbers is an even number.
\n(ii) The sum of two odd numbers and one even number is an even number.
\n(iii) The product of two even numbers is always an even number.
\n(iv) The product of three odd numbers is an odd number.
\n(v) If an even number is divided by 2, the quotient is always an odd number.
\n(vi) All prime numbers are odd.
\n(vii) All even numbers are composite.
\n(viii) Prime numbers do not have any factors.
\n(ix) A natural number is called a composite number if it has atleast one more factor other than 1 and the number itself.
\n(x) Two consecutive numbers cannot be both prime.
\n(xi) Two prime numbers are always co-prime numbers.
\nSolution:
\n(i) False
\n(ii) True
\n(iii) True
\n(iv) True
\n(v) False
\n(vi) False
\n(vii) False
\n(viii) False
\n(ix) True
\n(x) False
\n(xi) True<\/p>\n
Question 3.
\nWrite all the factors of the following natural numbers:
\n(i) 68
\n(ii) 27
\n(iii) 210
\nSolution:
\n(i) 68
\nThe factors of 68 are : 1, 2, 4, 17, 34, 68
\n(ii) 27
\nThe factors of 27 are : 1, 3, 9, 27
\n(iii) 210
\nThe factors of 210 are :
\n1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210<\/p>\n
Question 4.
\nWrite first six multiples of the following natural numbers:
\n(i) 3
\n(ii) 5
\n(iii) 12
\nSolution:
\n(i) 3
\nThe first six multiples of 3 are
\n3, 6, 9, 12, 15, 18
\n(ii) 5
\nThe first six multiples of 5 are
\n5, 10, 15, 20, 25, 30
\n(iii) 12
\nThe first six multiples of 12 are
\n12, 24, 36, 48, 60, 72<\/p>\n
Question 5.
\nMatch the items in column 1 with the items in column 2:<\/p>\n
Column 1<\/strong><\/td>\nColumn 2<\/strong><\/td>\n<\/tr>\n | (i) 15<\/td>\n | (a) Multiple of 8<\/td>\n<\/tr>\n | (ii) 36<\/td>\n | (b) Factor of 30<\/td>\n<\/tr>\n | (iii) 16<\/td>\n | (c) Multiple of 70<\/td>\n<\/tr>\n | (iv) 20<\/td>\n | (d) Factor of 50<\/td>\n<\/tr>\n | (v) 25<\/td>\n | (e) Multiple of 9<\/td>\n<\/tr>\n | (vi) 210<\/td>\n | (f) Factor of 20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n | Solution:<\/p>\n
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