SOLUTION: The largest possible product of two prime numbers whose sum is 176 is a) 7743 b) 7735 c) 7719 d) 7695 e) 7663

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: The largest possible product of two prime numbers whose sum is 176 is a) 7743 b) 7735 c) 7719 d) 7695 e) 7663      Log On


   

Question 1199289: The largest possible product of two prime numbers whose sum is 176 is
a) 7743 b) 7735 c) 7719 d) 7695 e) 7663
Answer by MathLover1(20855) About Me  (Show Source):
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find prime factorization of number 176:
2 | 3+| 5 | 7 | 11+| 13 | 17 | 19 | 23 | 29+| 31| 37+| 41 | 43 | 47 |+53+|+59+|+61 |+67 | 71 | 73+| 79+| 83+| 89 | 97 |+101 | 103 |+107 | 109+| 113 | 127 |+131 | 137 | 139 |+149 | 151 | 157+| 163+|+167 |+173 |

two prime numbers whose sum is 176+are:
3,173...............................-> product=519
13,163..............................-> product=2119
19,157...............................->+product=2983
37,139...............................-> product=5143
67,109...............................-> product=7303
73,103..............................-> product=7519
79,97...............................-> product=7663

The largest possible product:
79%2A97=7663
answer:
e) 7663