Question

10. For each of the following numbers, find a composite
number that is coprime to the given number
(a) 80 (b) 63 (C) 135 (d) 88
(A 81 (g) 256 (h) 216 (1) 294 (1) 1155
(e) 52​

Answer 1

Step-by-step explanation:

Simplify each of the numbers as a product of prime factors:

80= 2*2*2*2*5 (Prime no. 2 & 5)

63=3*3*7 (Prime no. 3 &7)

135= 3*3*3*5 (Prime no. 3 & 5)

88= 2*2*2*11 (Prime no. 2&11)

So in all 5 prime no.s been used i.e. 2,3,5,7,11.

Therefore a composite co-prime number would be the product of the next two prime no.s which are 13 & 17 i.e. 221.

Hence, answer is 221.