Determine o conjunto dos divisores naturais dos seguintes números.
a) 90 f)1050
b)120 e)300
c)105 d)270
Respostas
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a)
d(90) = (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90)
b)
d(120) = (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120)
c)
d(105) = (1, 3, 5, 7, 15, 21, 35, 105)
d)
d(270) = (1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270)
e)
d(300) = (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300)
f)
d(1050) = (1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050)
d(90) = (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90)
b)
d(120) = (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120)
c)
d(105) = (1, 3, 5, 7, 15, 21, 35, 105)
d)
d(270) = (1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270)
e)
d(300) = (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300)
f)
d(1050) = (1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050)
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