Question 49210: Tell whether each number is divisible by 2,3,4,5,6,9,10. Then classify the number as even or odd?
1.(1,000), 2.(6,598), 3.(399), 4.(27,453), 5.(33,324) and 6.(16,335)?
Answer by AnlytcPhil(1276)   (Show Source):
You can put this solution on YOUR website!Tell whether each number is divisible by 2,3,4,5,6,9,10. Then classify
the number as even or odd?
1.(1,000), 2.(6,598), 3.(399), 4.(27,453), 5.(33,324) and 6.(16,335)?
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First, I'll give you the rules and an example of each.
You'll need this: 0 is ALWAYS divisible by any positive integer.
A number is divisible by 2 if the last digit is 0, 2, 4, 6 or 8.
Example: 168 is divisible by 2 since the last digit is 8.
A number is divisible by 3 if the sum of the digits is divisible by 3.
Example: 168 is divisible by 3 since the sum of the digits is 15 (1+6+8=15),
and 15 is divisible by 3.
A number is divisible by 4 if the number formed by the last two digits is
divisible by 4.
Example: 316 is divisible by 4 since 16 is divisible by 4.
A number is divisible by 5 if the last digit is either 0 or 5.
Example: 195 is divisible by 5 since the last digit is 5.
A number is divisible by 6 if it is divisible by 2 AND it is also divisible
by 3.
Example: 168 is divisible by 6 since it is divisible by 2 AND it is also
divisible by 3.
A number is divisible by 8 if the number formed by the last three digits is
divisible by 8.
Example: 7,120 is divisible by 8 since 120 is divisible by 8.
A number is divisible by 9 if the sum of the digits is divisible by 9.
Example: 549 is divisible by 9 since the sum of the digits is 18 (5+4+9=18),
and 18 is divisible by 9.
A number is divisible by 10 if the last digit is 0.
Example: 1,470 is divisible by 10 since the last digit is 0.
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1.(1,000),
1000 is divisible by 2 since it ends in 0
1000 is not divisible by 3 since the sum of the digits is 1 (1+0+0+0=1),
and 1 is not divisible by 3.
1000 is divisible by 4 since 00, same as 0, is divisible by 4.
1000 is divisible by 5 since the last digit is 0.
1000 is not divisible by 6 because even though it is divisible by 2
it is not also divisible by 3.
1000 is divisible by 8 since 000, same as 0, is divisible by 8.
1000 is not divisible by 9 since the sum of the digits is 1 (1+0+0+0=1),
and 1 is not divisible by 9.
1000 is divisible by 10 since its last digit is 0.
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2.(6,598),
6,598 is divisible by 2 since it ends in 8
6,598 is not divisible by 3 since the sum of the digits is 1 (6+5+9+8=28),
and 28 is not divisible by 3.
6,598 is not divisible by 4 since 98 is not divisible by 4.
6,598 is not divisible by 5 since the last digit is not 0 or 5.
6,598 is not divisible by 6 because even though it is divisible by 2
it is not also divisible by 3.
6,598 is not divisible by 8 since 598 is not divisible by 8.
6,598 is not divisible by 9 since the sum of the digits is 28 (6+5+9+8=28),
and 28 is not divisible by 9.
6,598 is not divisible by 10 since its last digit is not 0.
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You do the rest. Just follow the rules above:
3.(399)
Answer: divisible by 3 only
4.(27,453)
Answer: divisible by 3 only
5.(33,324)
Answer: divisible by 2, 3, 4, 6
6.(16,335)
Answer: divisible by 3, 5, 9
Edwin
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