Mathematics
A number is divisible by both 3 and 8. By which other numbers will that number be always divisible?
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Answer
Let a natural number, say n, be divisible by both 3 and 8.
Since 3 and 8 are co-prime numbers and if a number is divisible by two co-prime numbers, then it is divisible by their product.
So, n is divisible by 3 × 8 = 24.
We know that,
If a number is divisible by another number, then it is divisible by each of the factors of that number
Thus, n is divisible by all the factors of 24.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
Hence, the number is always divisible by 1, 2, 4, 6, 12 and 24.
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