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7 \times 11 \times 13 %2B 13 \text and 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 %2B

Answer»

A composite number has more than 2 factors .Only composite numbers can be expressed in the form of product of two numbers other than 1 and itself .

= 7×11×13+13

= 13 ×( 7 × 11 + 1 )

= 1 × 13 × ( 7×11 + 1 )

7×11×13+13 can be expressed as product of other numbers

Therefore , 7×11×13+13 is a composite number

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



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