Mathematics
Test whether 4,56,832 is divisible by 6 and 9. Show your working using divisibility rules.
Answer
Divisibility by 6 : A number is divisible by 6 if it is divisible by both 2 and 3.
Divisible by 2? — The last digit of 4,56,832 is 2, which is even, so it is divisible by 2.
Divisible by 3? — Sum of digits = 4 + 5 + 6 + 8 + 3 + 2 = 28. Since 28 is not divisible by 3, the number is not divisible by 3.
As the number is not divisible by 3, it is not divisible by 6.
Divisibility by 9 : A number is divisible by 9 if the sum of its digits is divisible by 9.
Sum of digits = 28. Since 28 is not divisible by 9, the number is not divisible by 9.
Hence, 4,56,832 is neither divisible by 6 nor by 9.
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