Question

show that 6×5×4×3×2×1+5 is a composite number

Answer 1

Answer:

7× 6 × 5 × 4 × 3 × 2 × 1+ 5

= 5040 +5=5045

= 5045 = 5×1009

We know that a number is called a composite number if it has at least one factor other than 1 and the number itself.

Here, 5045 is the product of  2 prime factors 5 and 1009 .

Hence,7× 6 × 5 × 4 × 3 × 2 × 1+ 5 is  a composite number.

or   follow this way anything is ok

7× 6 × 5 × 4 × 3 × 2 × 1+ 5

= 5 ( 7× 6 × 4 × 3 × 2 × 1 + 1 )

= 1 × 5 × ( 7 × 6 × 4 × 3 × 2 × 1 + 1 )

As the expansion 7× 6 × 5 × 4 × 3 × 2 × 1+ 5 has more than two factors .Its a composite number. A prime numbers has only two factors, one and itself .A composite number has more than two factors

hope this helps you

thank you

Answer 2

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6 × 5 × 4 × 3 × 2 × 1+ 5

= 720+5=725=725 = 5× 145