Question

For each of the following pairs of numbers, verify that product of numbers is equal to the product of their HCF and LCM.

1). 10, 15

2). 35, 40

3). 32, 48​

Answer 1

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$1). \: 10,15$

$= \: H.C.F \: of \: 10 \: and \: 15 = 5$

$=L.C.M\: of \: 10 \: and \: 15 = 30$

$=Product \: of \: 10 \: and \: 15 \: = 150$

$=Product\:of\:H.C.F\:and\:L.C.M = 5×30\:=150.$

$2). \:35,40$

$=\: H.C.F\:of\:35\:and\:40 = 5$

$=\: L.C.M\:of\:35\:and\:40 = 280$

$=\:Product\:of\:35\:and\:40 = 1400$

$=\:Product \:of\:H.C.F\:and\:L.C.M= 280×5 = 1400.$

$1). \: 32,48$

$= \: H.C.F \: of \: 32 \: and \: 48 = 16$

$=L.C.M\: of \: 32 \: and \: 48 = 224$

$=Product \: of \: 32\: and \: 48 \: = 3584$

$=Product\:of\:H.C.F\:and\:L.C.M = 16×224\:=3584.$

Answer 2

Answer:

hey mate here is your answer....

Factor: A factor of a number is an exact divisor of that number.

Multiple: A multiple of a number is a number obtained by multiplying it by a natural number.

∴ 1 = 5

2 = 5

3 = 4

hope it's helpful for you....