Question

3. Look at these pairs of
numbers. Circle the pairs
that are co-prime numbers:
* 9 and 16
factors of 9: 1, 3,9
factors of 16: 1, 2, 4, 8, 16
9 and 16 are co-prime numbers.
a. 4 and 8 b. 2 and 10
C. 5 and 9 d. 2 and 17.
e. 5 and 10 f. 14 and 4
​

Answer 1

Answer:

Since 9 and 16 share no prime factors, they are indeed co-prime.

factors of 9: 1,3,9.

factors of 16: 1,2,4,8,16

Step-by-step explanation:

a)

4:-1,2,4

8:-1,2,4,8

These are not co-primes because the 4 and 8 contain 3 same prime numbers. So that is why this set is not co-primes.

b)

2. :-1,2

10:-1,2,5,10

These are not co-primes because the 2 and 10 contain 2 same prime numbers. So that is why this set is not co-primes.

c)

5:-1,5

9:-1,3,9

These are co-primes because the 5 and 9 contain only 1 prime number. So that is why this set is co-primes.

d)

2 :-1,2

17:-1,17

These are co-primes because the 2 and 17 contain only 1 prime number. So that is why this set is co-primes.

e)

5 :-1,5

10:-1,5,10

These are not co-primes because the 5 and 10 contain 2 same prime numbers. So that is why this set is not co-primes.

f)

14:-1,2,7,14

4 :-1,2,4

These are not co-primes because the 14 and 4 contain 2 same prime numbers. So that is why this set is not co-primes.