Out of the following numbers, which is divisible by 3?
(a) 406839 (b) 406838 (c) 32516
(d) 323
Answers
Answer:
Rules of Divisibility:
Divisibility by 2: A number is divisible by 2 if the digit at the unit place is either 0 or multiple of 2
Divisibility by 3: Numbers are divisible by 3 if the sum of all the individual digits is evenly divisible by 3
Divisibility by 4: If the number formed by the last two individual digits is evenly divisible by 4
Divisibility by 5: A number is divisible by 5 if the number's last digit is either 0 or 5.
Divisibility by 6: Numbers are evenly divisible by 6 if they are evenly divisible by both 2 and 3.
Divisibility by 8: Numbers are divisible by 8 if the number formed by the last three individual digits is evenly divisible by 8.
Divisibility by 9: A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.
Divisibility by 10: A number to be divisible by 10, the last digit must be a 0
Divisibility by 11: We must subtract and then add the digits in an alternating pattern from left to right. If the answer is 0 or 11, then the result is divisible by 11.
Numbers 2 3 4 5 6 8 9 10 11
990 Yes Yes No Yes Yes No Yes Yes Yes
1586 Yes No No No No No No No No
275 No No No Yes No No No No Yes
6686 Yes No No No No No No No No
639210 Yes Yes No Yes Yes No No Yes Yes
429714 Yes Yes No No Yes No Yes No No
2856 Yes Yes Yes No Yes Yes No No No
3060 Yes Yes Yes Yes Yes No Yes Yes No
406839 No Yes No No No No No No No
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Answer:
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Step-by-step explanation:
Rules of Divisibility:
Divisibility by 2: A number is divisible by 2 if the digit at the unit place is either 0 or multiple of 2
Divisibility by 3: Numbers are divisible by 3 if the sum of all the individual digits is evenly divisible by 3
Divisibility by 4: If the number formed by the last two individual digits is evenly divisible by 4
Divisibility by 5: A number is divisible by 5 if the number's last digit is either 0 or 5.
Divisibility by 6: Numbers are evenly divisible by 6 if they are evenly divisible by both 2 and 3.
Divisibility by 8: Numbers are divisible by 8 if the number formed by the last three individual digits is evenly divisible by 8.
Divisibility by 9: A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.
Divisibility by 10: A number to be divisible by 10, the last digit must be a 0
Divisibility by 11: We must subtract and then add the digits in an alternating pattern from left to right. If the answer is 0 or 11, then the result is divisible by 11.
Numbers 2 3 4 5 6 8 9 10 11
990 Yes Yes No Yes Yes No Yes Yes Yes
1586 Yes No No No No No No No No
275 No No No Yes No No No No Yes
6686 Yes No No No No No No No No
639210 Yes Yes No Yes Yes No No Yes Yes
429714 Yes Yes No No Yes No Yes No No
2856 Yes Yes Yes No Yes Yes No No No
3060 Yes Yes Yes Yes Yes No Yes Yes No
406839 No Yes No No No No No No No