Question

Determinati nr naturale de forma 2x3y divizibile cu 6

Answer 1

2x3y divizibil cu 6
=> 2x3y divizibil cu 2; y={0,2,4,6,8}
     2x3y divizibil cu 3; 2+3+x+y=M3
5+x+y={6,9,12,15,19,21}

 y=0=>x={1,4,7}
2x3y={2130, 2430, 2730}

 y=2=> x={2, 5, 8}
2x3y={2232, 2532, 2832}

 y=4 => x={0,3,6,9}
2x3y={2034, 2334, 2634, 2934}

 y=6 => x={1,4,7}
2x3y={2136, 2436, 2736}

y=8 =>x={2, 5, 8}
2x3y={2238, 2538, 2838}

2x3y={2034, 2130, 2136, 2232, 2238, 2334, 2430, 2436, 2532, 2538, 2634, 2730, 2736, 2832, 2838, 2934}