Question

Exercițiile 1,2,3,4 varog urgent repede dau coroana

Answer 1

Ex 1

$\mathcal{D} _{4} = \{1.2.4\} \\ \mathcal{D} _{10} = \{1.2.5.10\} \\ \mathcal{D} _{18} = \{1.2.3.6.9.18\} \\ \mathcal{D} _{31} = \{1.31\} \\ \mathcal{D} _{45} = \{1.3.5.9.15.45\} \\ \mathcal{D} _{56} = \{1.2.4.7.814.28.56\} \\ \mathcal{D} _{72} = \{1.2.3.4.6.8.9.12.18.24.36.72\} \\ \mathcal{D} _{84} = \{1.2.3.4.6.7.12.14.21.28.42.84\} \\ \mathcal{D} _{100} = \{1.2.4.5.10.20.25.50.100\}$

Ex 2

$a) \: \: 75 \: \vdots \: 5 \\ b) \: \: 38 \: \not{\vdots} \: 4 \\ c) \: \: 42 \: \vdots \: 7 \\ d) \: \: 63 \: \not{\vdots} \: 8 \\ e) \: \: 48 \: \not{\vdots} \: 9 \\ f) \: \: 55 \: \vdots \: 11 \\ g) \: \: 72 \: \vdots \: 12 \\ h) \: \: 63 \: \not{\vdots} \: 6 \\ i) \: \: 40 \: \vdots \:8 \\ j) \: \: 24 \: \not{\vdots} \: 7$

Ex 3

$a) \: \: 2 | 16 \\ b) \: \: 3\not{ | }17 \\ c) \: \: 6 | 24 \\ d) \: \: 8 \: \not{ | } \: 34 \\ e) \: \: 9 | 45 \\ f) \: \: 7 \: \not{ | }68 \\ g) \: \: 12 | 60 \\ h) \: \: 13 | 65 \\ i) \: \: 16 \: \not{ | }72 \\ j) \: \: 24 | 120$

Ex 4

$\mathcal{D} _{6} = \{1.2.3.6\} \\ \mathcal{D} _{9} = \{1.3.9\} \\ \mathcal{D} _{12} = \{1.2.3.4.6.12\} \\ \mathcal{D} _{17} = \{1.17\} \\ \mathcal{D} _{24} = \{1.2.3.4.6.8.12.24\} \\ \mathcal{D} _{36} = \{1.2.3.4.6.9.12.18.36\} \\ \mathcal{D} _{50} = \{1.2.5.10.25.50\} \\ \mathcal{D} _{63} = \{1.3.7.9.21.63\} \\ \mathcal{D} _{102} = \{1.2.3.6.17.34.51.102\}$