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Syd chooses two different primes, and multiplies them. If both primes are greater than 10, and the resulting product is less than 400, then how many different products could Syd have ended up with?

I tries 210 but that was incorrect

Thanks for you help!

 Dec 31, 2023
 #2
avatar+6 
+1

The prime numbers greater than 10 and less than 20 are 11, 13, 17, and 19. The product of any two of these primes is less than 400.

Let’s list the possible products:

11 * 13 = 143

11 * 17 = 187

11 * 19 = 209

13 * 17 = 221

13 * 19 = 247

17 * 19 = 323

So, there are 6 different products that Syd could have ended up with. Please note that 210 is not a product of two prime numbers greater than 10, which is why it was incorrect. I hope this helps! 😊

 Dec 31, 2023
 #4
avatar+44 
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Thank You for trying but that was incorrect. The correct answer is 12. Thanks again for telling me that 210 was incorrect and why!

omgitsme  Dec 31, 2023
 #3
avatar+126665 
+1

{ 11, 13 , 17, 19, 23 ,29, 31}

 

11 *  13  = 143                 13 * 17 = 221                     17 *  19 =  323

11 *  17  = 187                 13 * 19 = 247                     17 *  23  =  391

11 *  19  = 209                13 *  23 = 299

11 *  23  = 253                 13 * 29 = 377

11 *  29 =  319

11 *  31 =  341

 

12 different products

 

cool cool cool

 Dec 31, 2023
 #5
avatar+44 
+1

Thank for helping, you got it correct!

omgitsme  Dec 31, 2023

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