SOLUTION: Find a composite number for each of the following numbers to make each a pair of co-prime numbers? a: 80, b:63 ,c: 135,d: 88 e:52 f:81 g:256 h:216 i:294 j:1155 Can you please

Algebra.Com
Question 989462: Find a composite number for each of the following numbers to make each a pair of co-prime numbers?
a: 80, b:63 ,c: 135,d: 88 e:52 f:81 g:256 h:216 i:294 j:1155
Can you please provide answers with the steps to help my daughter explain the same.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
You just have to pick a number that does not share a prime factor with it.
The easiest way to make a composite number with a prime is to square it.

a: 80, 

80 has factors 2, 5.  Pick another prime. 3, square it, 9

80 and 9 are coprime. 


b:63

63 has prime factors 3, 7.  Pick another prime, 5, square it, 25.

63 and 25 are coprime.


c: 135

135 has prime factors 3,5.  Pick another prime. 7, square it, 49  

135 and 49 are coprime.

,d: 88 

88 has prime factors 2,11.  Pick another prime. 3, square it, 9.

88 and 9 are coprime


e:52

52 has prime factors 2,13.  Pick another prime, 3, square it, 9

52 and 9 are coprime.


f:81 

81 has only the prime factor 3.  Pick another prime 2, square it, 4,

81 and 4 are coprime




g:256 

256 has only the prime factor 2.  Pick another prime, 3, square it, 9,

256 and 9 are coprime. 


h:216

216 has prime factors 2, 3.  Pick another prime, 5, square it, 25,

216 and 25 are coprime.


 i:294

294 has prime factor 2, 3, 7.  Rick another prime, 5. Square it, 25.

294 and 25 are coprime. 



 j:1155 

1155 has prime factors 3, 5, 7, 11. Pick another prime, 2.  Square it, 4.

1155 and 4 are coprime.

Edwin

RELATED QUESTIONS

find a composite number for each of the following numbers to make each a pair of coprime... (answered by tommyt3rd)
Find a composite number for each of following numbers to make each a pair of coprime... (answered by tommyt3rd)
how to make each a pair of coprime numbers from a composite... (answered by tommyt3rd)
Determine whether each of the following numbers is prime or composite (a)219 (b)791... (answered by Fombitz)
What is 23 squared? What are the prime factors of 625 ? Solve the following... (answered by plover)
How many different prime numbers are factors of 1988? (Note: The number 1 is not a... (answered by nerdybill)
How many different prime numbers are factors of 1988? (Note: The number 1 is not a... (answered by ankor@dixie-net.com)
What 2 composite numbers whose prime factors each have a sum of 18? (answered by stanbon)
I do not understand how to factor a composite number into a product of prime numbers. For (answered by RAY100)