A number is divisible by both 5 and 12. By which other number will that number be always divisible?
Given:
A number is divisible by both 5 and 12.
To do:
We have to find the other number by which the above number is always divisible.
Solution:
Factors of 5 are 1 and 5
Factors of 12 are 1, 2, 3, 4, 6 and 12
Common factor of 5 and 12 is 1.
This implies,
5 and 12 are co-prime.
Therefore,
The number is also divisible by the factors of their product,
$5\times12=60$
Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
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