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Question
Which of the following numbers is divisible by 6?
Options
67821
78134
87432
none of these
Solution
The correct option is 87432.
A number is divisible by 6 if it is divisible by both 2 and 3.
Since the ones digit of 87432 is 2, it is divisible by 2.
Now, 8 + 7 + 4 + 3 + 2 = 24
24 is divisible by 3.
Hence, 87432 is divisible by 6 because it is divisible by both 2 and 3.
Option 67821 is not correct because 67821 is not divisible by 2.
Option 78134 is not correct because 78134 is not divisible by 3.
7 + 8 + 1 + 3 + 4 = 23
23 is not divisible by 3.
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Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no):
Number |
Divisible by |
||||||||
2 |
3 |
4 |
5 |
6 |
8 |
9 |
10 |
11 |
|
128 |
Yes |
No |
Yes |
No |
No |
Yes |
No |
No |
No |
990 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
1586 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
275 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
6686 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
639210 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
429714 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
2856 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
3060 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
406839 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |