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प्रश्न
Test the divisibility of the following numbers by 6:
2070
उत्तर
A number is divisible by 6 if it is divisible by both 2 and 3.
Since 2070 is divisible by 2 and 3, it is divisible by 6.
Checking the divisibility by 2: Since the number 2070 has 0 in its units place, it is divisible by 2.
Checking the divisibility by 3: The sum of the digits of 2070, 2 + 0 + 7 + 0, is 9, which is divisible by 3. So, it is 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 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |