Question

1...descompune in factori primi si aflati nr. de divizori ai numerelor: 32,27,170,450,1350,252,350,1800 2...scrieti multimea divizorilor numerelor:48,125,256,361,1058

Answer 1

32=2⁵
27=3³
170=2×5×17
450=2×3²×5²
1350=2×3³×5²
252=2²×3²×7
350=2×5²×7
1800=2³×3²×5²
D32={1,2,4,8,16,32}
D27={1,3,9,27}
D170={1,2,5,10,17,34,85,170}
D450={1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450}
D1350={1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,
1350}
D252={1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252}
D350={1,2,5,7,10,14,25,35,50,70,175,350}
D1800={1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800}

2. D48={1,2,3,4,6,8,12,16,24,48}
D125={1,5,25,125}
D256={1,2,4,8,16,32,64,128,256}
D361={1,19,361}
D1058={1,2,23,46,529,1058}