A number is divisible by 5 and 8 both. By what other numbers will that number be always divisible?
Answers
Answer:
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Step-by-step explanation:
5 and 8 are co-prime
5×8= 40 and its factors I.e.
the factors of 40 are 1,2,4,5, 8, 10, 20, 40
So, the number will he divisible by these factors only.
The number will also be divisible by 1,2,4,5,8,10,20 and 40.
Given:
A number is divisible by 5 and 8 both.
To Find:
We have to find by what other numbers will that number be always divisible.
Solution:
Let us tackle this question.
We can simply solve this question as follows,
We need to find out which number is divisible by both 5 and 8.
Since the unknown number is divisible by both 5 and 8, let us find the factors of 5 and 8.
Factors of 5 are 1 and 5.
Factors of 8 are 1, 2,4, and 8.
Since the common factor of these numbers is 1, the given two numbers are co-prime.
Therefore, the number will also be divisible by their product which is 5 x 8 = 40 since if we divide 40 by 5 we get 8 and if we divide 40 by 8, we get 5.
Therefore, the required number is 40.
The number will also be divisible by all the factors of 40.
The factors of 40 are 1,2,4,5,8,10,20 and 40.
Therefore, the number will also be divisible by 1,2,4,5,8,10,20, and 40.
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