Question

Answer 6th question.......

Answer 1

Answer :-

7* 6*5*4*3*2*1*1+5

Take out 5 as it is common...

rewrite this again...

5(7*6*5*4*3*2*1+1)

=> 5 [1008+1]

=> 5* 1009

5,1009 are prime numbers..

Here,

7*6*5*4*3*2*1+5 is expressed as product of primes.

So,

the number is composite number (since,fundamental theorem of arithmetic)

Answer 2

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$\tt{=7\times 6\times 5\times 4\times 3\times 2\times 1 + 5}$

$\tt{= 42\times 20\times 6+5}$

$\tt{=42\times 120+5}$

$\tt{=5040+5}$

$\tt{=5045}$

The prime factor of 5045 = 5 × 109.

So we know that composite no. is having factor other than one or itself.

So this no. have 2 factor other then one or itself. So it is a composite no.