Question

Exit

Which pair of numbers is relatively prime?
A. 108 and 57
B. 21 and 183
C. 55 and 121
D. 60 and 151

Answer 1

The pair of numbers that is relatively prime is D. 60 and 151, as 151 is a prime number and does not have any common divisors with 60 other than 1.

Step-by-step explanation:

The question asks which pair of numbers is relatively prime, meaning that they share no common divisors other than 1. To answer this, we must check each pair to see if there is a common factor other than 1.

• For pair A, 108 and 57, we find that 3 is a common factor (108 = 3 x 36, and 57 = 3 x 19).
• Pair B, 21 and 183, has a common factor of 3 as well (21 = 3 x 7, and 183 = 3 x 61).
• Pair C, 55 and 121, is also not relatively prime since 11 is a common factor (55 = 5 x 11, and 121 = 11 x 11).
• Finally, pair D, 60 and 151, has no common factors other than 1, as 151 is a prime number and does not divide evenly into 60.

Therefore, the pair that is relatively prime is D. 60 and 151.

Answer 2

its not A because 108 and 57 are both divisible by 3

if you write the numbers in prime factor form you will see the correct optiuon

for example B:-

21 = 3* 7
183 = 3 * 61 3 is common to both factors so its not B