BalbhartiMaharashtra Board Class 5 Maths SolutionsChapter 8 Multiples and Factors Problem Set 34 Textbook Exercise Important Questions and Answers.
Maharashtra State Board Class 5 Maths Solutions Chapter 8 Multiples and Factors Problem Set 34
Co-prime numbers
Dada : Tell me all the factors of 12 and 18.
Anju : I’ll tell the factors of 12: 1, 2, 3, 4, 6, 12.
Manju : I’ll give the factors of 18: 1, 2, 3, 6, 9, 18.
Dada : Now find the common factors of 12 and 18.
Anju : Common factors ?
Dada : 1, 2, 3 and 6 are in both groups, which means that they are common factors. Now tell me the factors of 10 and 21.
Sanju : Factors of 10 : 1, 2, 5, 10.
Manju : Factors of 21: 1, 3, 7, 21.
Dada : Which of the factors in these two groups are common?
Sanju : 1 is the only common factor.
Dada : Numbers which have only 1 as a common factor are called co-prime numbers, so 10 and 21 are co-prime numbers. The common factors of 12 and 18 are 1, 2, 3 and 6; which means that the common factors are more than one. Therefore, 12 and 18 are not co-prime numbers. Now tell me whether 8 and 10 are co-prime numbers.
Manju : The factors of 8 are 1, 2, 4 and 8 and the factors of 10 are 1, 2, 5 and 10. These numbers have two factors, 1 and 2, in common, so 8 and 10 are not co-prime numbers.
Multiples and Factors Problem Set 32 Additional Important Questions and Answers