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If \(a\) and \(b\) are distinct prime numbers, which of the following could be the product of \(a\) and \(b?\)

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Source: — Problem Solving |

Junior | Next Rank: 30 Posts
Posts: 15
Joined: Sat Sep 12, 2020 8:07 pm
Start with factorization, ideally for this question one should not need a notepad

A) 4 = 2 x 2 (two primes, but not distinct, eliminate)
B) 5 = 5x1 (it self a prime, no other distinct prime factor, eliminate)
C) 10 = 2 x 5 (Correct, two primes, also distinct)
D) 11 = 11 x 1 (it self a prime, no other distinct prime factor, eliminate)
E) 25 = 5 x 5 (two primes, but not distinct, eliminate)