Alice and Bob are playing the Smallest Positive Integer Game. Alice says, "My number is 24." Bob says, "What kind of silly small

Question

3 years ago

5

Alice and Bob are playing the Smallest Positive Integer Game. Alice says, "My number is 24." Bob says, "What kind of silly small

est number is that? Every prime factor of your number is also a prime factor of my number." What is the smallest possible number that Bob could have?

Mathematics

1 answer:

IRISSAK [1] · Answer 1 · 2022-04-01T16:40:11+03:00

IRISSAK [1]3 years ago

6 0

Answer:

6

Step-by-step explanation:

Alcumus Explanation: The prime factorization of 24 is 2^3 times 3, so 2 and 3 have to be prime factors of Bob's number as well. The smallest possible number is when each the exponents of both of them is 1, giving 2 times 3= 6.

Hope it helped!