Question 1 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 … … … … … … … … …
Class 6 - Math - Playing with Numbers Page 57
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Divisibility test:
Divisibility of numbers by 2:
A number that has 0, 2, 4, 6 or 8 in its ones place is divisible by 2.
Divisibility of numbers by 3:
A number is divisible by 3 if the sum of its digits is divisible by 3.
Divisibility of numbers by 4:
A number is divisible by 4 if the number formed by its last two digits (i.e. ones and tens) is divisible by 4.
Divisibility of numbers by 5:
A number that has either 0 or 5 in its ones place is divisible by 5.
Divisibility of numbers by 6:
A number is divisible by 6 if that number is divisible by both 2 and 3
Divisibility of numbers by 8:
A number is divisible by 8 if the number formed by its last three digits (i.e. ones, tens and hundreds) is divisible by 8.
Divisibility of numbers by 9:
A number is divisible by 9 if the sum of its digits is divisible by 9.
Divisibility of numbers by 10:
A number that has 0 in its ones place is divisible by 10.
Divisibility of numbers by 11:
If the difference between the sum of the digits at the odd and even places in a given number is either 0 or a multiple of 11, then the given number is divisible by 11.
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