Find the smallest number having five different prime factors .
(a) 30
(b) 60
(c) 210
(d) 2310
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Answer:
d) 2310
Step-by-step explanation:
a) 30 - 1,2,3,5,6,10,15,30
Prime factors - 2,3,5 ( only 3 i. e. 3<5 )
b) 60 - 1,2,3,4,5,6,10,12,15,20,30,60
Prime factors - 2,3,5 ( only 3 i. e. 3<5 )
c) 210 - 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Prime factors - 2,3,5,7 ( only 4 i. e. 4<5 )
d) 2310 - 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
Prime factors - 2,3,5,7,11 ( 5=5 )
Hope it helps.
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