Question

144 is divisible 12 is it divisible by the factors of 12 verify​

Answer 1

$Find \: the \: factors \: of \: 144 \: and \: 12$

Finding Factors of 144:

144 = 1 × 144

= 2 × 72

= 3 × 48

= 4 × 36

= 6 × 24

= 8 × 18

= 9 × 16

= 12 × 12

F(144) = { 1,2,3,4,5,6,8,9,12,16,18,24,36,48,72,144}

$12 \: is \: a \: factor \: of \: 144 .$

$Therefore , 144 \: is \: divisible \: by \: 12.$

$\pink { Every \: factor \: of \: a \: number \:is\:an}$

$\pink { exact \: divisor \: of \: that \: number. }$

Finding Factors of 12:

12 = 1 × 12

= 2 × 6

= 3 × 4

F(12) = { 1,2,3,4,6,12 }

As we notice that , factors 12 are Factors of 144 also.

Therefore.,

144 divisible by all factors of 12 .

Verification:

i ) 144 ÷ 1

1 ) 144 ( 144

*** 144

_______

*****( 0 )

ii ) 144 ÷ 2

2 ) 144 ( 72

*** 12

_______

**** 24

**** 24

_______

****(0)

iii )144 ÷ 3

3) 144 ( 48

*** 12

______

***** 24

***** 24

_______

***** (0)

Similarly, we show that all the factors of 12 are exact divisors of 144 .

•••♪

Answer 2

Step-by-step explanation:

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