A Number is Divisible By Both 5 and 12. By Which Other Number Will That Number Be Always Divisible?
Question: A number is divisible by both 5 and 12. By which other number will that number be always divisible?
We will use the definition of co-prime numbers to answer this question. Two numbers or integers are co-prime if their common factor is only 1.
Answer: If a number is divisible by both 5 and 12 it will be divisible by 60.
If a number x is divisible by co-prime numbers a and b, then x will also be divisible by the product of a and b.
So, if a number is divisible by both 5 and 12, it will always be divisible by 5 × 12 which is 60.
Consider the number 120.
It is divisible by 5 and 12 and it is also divisible by the product of 5 and 12 which is 60.
You can check with any number, if it is divisible by 5 and 12, it will be divisible by 60.