Explain why 11 × 13 × 15 × 17 + 17 is a composite number?

We know, Composite numbers are the whole numbers which has more then two factors. Given: 11 × 13 × 15 × 17 + 17 ⇒ 17 11 × 13 × 15 × 17 + 1 ⇒ 17 ( 36465 + 1 ) ⇒ 17 36466 ⇒ 17 × 2 × 18233 We see the given number is the product of more than one prime number. Hence, given number is a composite number.

Explain why 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 is a composite number?

We know, Composite numbers are the whole numbers which has more than two factors. Given: 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 ⇒ 5 7 × 6 × 4 × 3 × 2 × 1 + 1 ⇒ 5 ( 1008 + 1 ) ⇒ 5 1009 ⇒ 5 × 1009 We see the given number is the product of more than one prime number. Hence, given number is a composite number.

Explain why 17 × 5 × 11 × 3 × 2 + 2 × 11 is a composite number?

We know, Composite numbers are the whole numbers which has more than two factors. Given: 17 × 5 × 11 × 3 × 2 + 2 × 11 ⇒ 2 × 11 17 × 5 × 3 + 1 ⇒ 2 × 11 ( 255 + 1 ) ⇒ 2 × 11 × 256 We see the given number is the product of more than one factor. Hence, given number is a composite number.