# SOLUTION: What is the smallest odd number you can obtain from the product of four different prime numbers? Show or explain how you got your answer.

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 Question 591789: What is the smallest odd number you can obtain from the product of four different prime numbers? Show or explain how you got your answer. Found 2 solutions by solver91311, richard1234:Answer by solver91311(17077)   (Show Source): You can put this solution on YOUR website! The product of any two odd numbers is odd: . Since is even, hence is odd. Any product that has a factor of 2 is even, so in order to get 4 prime factors of an odd number, 2 must be excluded. The smallest product is therefore obtained from the next four prime numbers. John My calculator said it, I believe it, that settles it Answer by richard1234(5390)   (Show Source): You can put this solution on YOUR website!Cannot use 2, because 2 is even and the product of an even number with any set of integers is even. Therefore, use the next four smallest primes, 3,5,7,11 and multiply them.