SOLUTION: The products of 4 prime numbers is 4522. The sum of two of thesecprimes is 19. What is sum of other two number? Thanks

Question 1011816: The products of 4 prime numbers is 4522. The sum of two of thesecprimes is 19. What is sum of other two number?
Thanks
Found 2 solutions by Theo, josgarithmetic:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
looks like the prime numbers are 2,7,17,19

if you add 2 + 17, you'll get 19.

the other two numbers are 7 and 19.

2 * 7 * 17 * 19 = 4522

Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
The given product is a multiple of 2 because the ONES digit is even and is itself 2.

The only way to have sum of two prime numbers to be 19 is they are 2 and 17.
The other composite part will be .

Factorize 133. This will(or CAN) include prime numbers LESS than . This allows narrowing the choices to look for. No longer being even, therefore no longer divisible by 2, the choices are 3, 5, 7, 11.
-
You can omit 3 and 5 from this listing. No ending in 5 and adding value of digits does not give multiple of 3.

133-11=122 No good.
133/7=19------------two prime numbers, 7 and 19.

RESULT: 2, 7, 17, 19.
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