Syd chooses two different primes, both of which are greater than 10 and multiplies them. The resulting product is less than How many different products could Syd have ended up with?

Guest Mar 5, 2023

#1**+1 **

The largest two primes that are both greater than 10 are 11 and 13. Their product is 11 x 13 = 143, which is less than 200.

We can list all possible products of two different primes greater than 10 and less than 200 by listing all possible pairs of primes and multiplying them:

11 x 13 = 143

11 x 17 = 187

11 x 19 = 209 (too large)

11 x 23 = 253 (too large)

11 x 29 = 319 (too large)

13 x 17 = 221 (too large)

13 x 19 = 247 (too large)

13 x 23 = 299 (too large)

13 x 29 = 377 (too large)

17 x 19 = 323 (too large)

17 x 23 = 391 (too large)

17 x 29 = 493 (too large)

19 x 23 = 437 (too large)

19 x 29 = 551 (too large)

23 x 29 = 667 (too large)

Therefore, there are 2 possible products that Syd could have ended up with: 143 and 187.

Justingavriel1233 Mar 5, 2023