Quiz — 1581441476_2-Diviseurs et multiples d'entiers -Exemple et propriétés .pdf

Question 1 sur 10 20:00

[{"id":77036,"question":"Quel est le plus grand diviseur de 18 différent de 18 ?","option_a":"6","option_b":"9","option_c":"12","option_d":"15","option_e":"","option_f":"","bonne_reponse":"b","explication":"Les diviseurs de 18 sont 1, 2, 3, 6, 9 et 18. Le plus grand diviseur différent de 18 est donc 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"6\", \"b\": \"9\", \"c\": \"12\", \"d\": \"15\"}}","_debug_options_count":4},{"id":77037,"question":"Vrai ou Faux ? 5 est un multiple de 20.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"5 n'est pas un multiple de 20 car 20 × 0,25 = 5, mais 0,25 n'est pas un entier. Un multiple doit être le résultat d'une multiplication par un entier.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":77038,"question":"Quel est le plus petit multiple commun (PPCM) de 4 et 6 ?","option_a":"12","option_b":"24","option_c":"8","option_d":"18","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les multiples de 4 sont 4, 8, 12, 16, 20, ... et ceux de 6 sont 6, 12, 18, 24, ... Le plus petit multiple commun est donc 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"12\", \"b\": \"24\", \"c\": \"8\", \"d\": \"18\"}}","_debug_options_count":4},{"id":77039,"question":"Vrai ou Faux ? Si un nombre est divisible par 3, alors il est aussi divisible par 6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un nombre divisible par 3 n'est pas forcément divisible par 6. Par exemple, 9 est divisible par 3 mais pas par 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":77040,"question":"Quel est le diviseur commun de 15 et 25 autre que 1 ?","option_a":"3","option_b":"5","option_c":"7","option_d":"10","option_e":"","option_f":"","bonne_reponse":"b","explication":"Les diviseurs de 15 sont 1, 3, 5, 15 et ceux de 25 sont 1, 5, 25. Le seul diviseur commun autre que 1 est 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"3\", \"b\": \"5\", \"c\": \"7\", \"d\": \"10\"}}","_debug_options_count":4},{"id":77041,"question":"Vrai ou Faux ? Tout nombre pair est un multiple de 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un nombre pair est un multiple de 2, mais pas nécessairement de 4. Par exemple, 6 est pair mais n'est pas un multiple de 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":77042,"question":"Quel est le plus petit diviseur premier de 36 ?","option_a":"2","option_b":"3","option_c":"4","option_d":"6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les diviseurs premiers de 36 sont 2 et 3. Le plus petit est 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"2\", \"b\": \"3\", \"c\": \"4\", \"d\": \"6\"}}","_debug_options_count":4},{"id":77043,"question":"Vrai ou Faux ? 0 est un multiple de tout nombre entier.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"0 est un multiple de tout nombre entier car 0 = n × 0 pour tout entier n. Cependant, 0 n'est pas un diviseur de tout nombre.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":77044,"question":"Quel est le multiple de 7 le plus proche de 50 ?","option_a":"42","option_b":"49","option_c":"56","option_d":"63","option_e":"","option_f":"","bonne_reponse":"b","explication":"Les multiples de 7 proches de 50 sont 49 (7 × 7) et 56 (7 × 8). Le plus proche de 50 est 49.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"42\", \"b\": \"49\", \"c\": \"56\", \"d\": \"63\"}}","_debug_options_count":4},{"id":77045,"question":"Vrai ou Faux ? Si un nombre est divisible par 2 et par 3, alors il est divisible par 6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Si un nombre est divisible par 2 et par 3, alors il est divisible par 6 (car 2 et 3 sont premiers entre eux). Cette affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]