Complete the following table and find the relationship between HCF and LCM. Numbers HCF LCM HCF × LCM Product of numbers 12 , 18 ----------- 36 --------- 216

Given, LCM = 36 . Product of numbers is 216 . We have to find HCF and HCF × LCM of 12 , 18 . So, Factors of 12 = 2 × 2 × 3 Factors of 18 = 2 × 3 × 3 So, HCF of 12 , 18 = 2 × 3 = 6 . and HCF × LCM = 6 × 36 = 216 . So, Numbers HCF LCM HCF × LCM Product of numbers 12 , 18 6 36 216 216 From this table we can say that LCM is always greater than HCF.

Complete the following table and find the relationship between HCF and LCM. Numbers HCF LCM HCF × LCM Product of numbers 15 , 20 5 ------- --------- 300

Given , HCF = 5 We have to find LCM and HCF × LCM of 15 , 20 So, 5 15 , 20 2 3 , 4 3 , 2 So, LCM of 15 , 20 = 2 × 2 × 3 × 5 = 60 and HCF × LCM = 5 × 60 = 300 So, Numbers HCF LCM HCF × LCM Product of numbers 15 , 20 5 60 300 300 From this table we can say that LCM is always greater than HCF.

Complete the following table and find the relationship between HCF and LCM. Numbers HCF LCM HCF × LCM Product of numbers . . . . . , 124 ----------- --------- 12 , 152 ----------

Given , HCF × LCM = 12 , 152 Let other number be x . From above two examples we observe that HCF × LCM and product of numbers are same. So, product of numbers = 12 , 152 ⇒ x × 124 = 12 , 152 ⇒ x = 98 So, other number is 98 . we have to find HCF and LCM of 98 a n d 124 So, Factors of 98 = 2 × 7 × 7 Factors of 124 = 2 × 2 × 31 So, HCF of 98 , 124 = 2 And HCF × LCM = 12 , 152 ⇒ 2 × L C M = 12 , 152 ⇒ L C M = 6 , 076 From this table we can say that LCM is always greater than HCF. So, Numbers HCF LCM HCF × LCM Product of numbers 98 , 124 2 6 , 076 12 , 152 12 , 152

Match the items in Column 1 with the items in Column 2 . Column 1 Column 2 (i) 35 (a) Multiple of 8 (ii) 15 (b) Multiple of 7 (iii) 16 (c) Multiple of 70 (iv) 20 (d) Factor of 30 (v) 25 (e) Factor of 50 (f) Factor of 20

Multiple of a number is obtained by multiplying it with natural number. A factor of a number is an exact divisor of that number. So, from this we will reach to the conclusion Column 1 Column 2 (i) 35 (b) Multiple of 7 (ii) 15 (d) Factor of 30 (iii) 16 (a) Multiple of 8 (iv) 20 (f) Factor of 20 (v) 25 (e) Factor of 50

Write all the factors of45

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 3 - Playing with Numbers>THINKING SKILLS>Q 5

Find whether the product of three consecutive numbers is divisible by

6 .

Give reasons.

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 3 - Playing with Numbers>THINKING SKILLS>Q 6

Complete the following table and find the relationship between HCF and LCM.

Numbers	HCF	LCM	HCF $\times$ LCM	Product of numbers
$12, 18$	-----------	$36$	---------	$216$

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 3 - Playing with Numbers>THINKING SKILLS>Q 6

Complete the following table and find the relationship between HCF and LCM.

Numbers	HCF	LCM	HCF $\times$ LCM	Product of numbers
$15, 20$	$5$	-------	---------	$300$

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 3 - Playing with Numbers>THINKING SKILLS>Q 6

Complete the following table and find the relationship between HCF and LCM.

Numbers	HCF	LCM	HCF $\times$ LCM	Product of numbers
$. . . . ., 124$	-----------	---------	$12, 152$	----------

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 3 - Playing with Numbers>VALUES AND LIFE SKILLS>Q 1

Three persons step off together for a morning walk. Their steps measure $80 cm$ , $85 cm$ and $90 cm$ respectively. What is the minimum distance each person should walk so that all of them can cover that same distance in complete steps? Is morning walk good for health? Do you go for a morning walk?

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 3 - Playing with Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 1

Match the items in Column $1$ with the items in Column $2$ .

Column $1$	Column $2$
(i) $35$	(a) Multiple of $8$
(ii) $15$	(b) Multiple of $7$
(iii) $16$	(c) Multiple of $70$
(iv) $20$	(d) Factor of $30$
(v) $25$	(e) Factor of $50$
	(f) Factor of $20$

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 3 - Playing with Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 2

Find all the multiples of

9

upto

100

.

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 3 - Playing with Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 3

The numbers

13

and

31

are prime numbers. Both these numbers have the same digits

1

and

3

. Find such pairs of prime numbers upto

100

.

Write all the factors of $4^{5}$ ?

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

Write all the factors of 45?

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

Write all the factors of $4^{5}$ ?