Maths / Real Numbers / Prime Factorization

QUESTION
 

Explain why 3X13X17X5 + 2X17X5  and 3X13X17X5- 2X17X5 is a composite number.

EXPLANATION
Explain TypeExplanation Content
Text
  • 3X13X17X5+2X17X5 =17X5(3X13+2)=85(39+2)=85X41=3485=17X5X41X1
  • 3X13X17X5-2X17X5=17X5(3X13-2)=85(39-2)=3145=17X5X37X1
  • As 3485 and 3145 both have prime factors other than 1 and the number itself. Therefore, both numbers are composite.
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