SOLUTION: Answer each of the following and justify your answers. a. If a number is not divisible by 5, can it be divisible by 10? b. If a number is not divisible by 10, can it be divisibl

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Answer each of the following and justify your answers. a. If a number is not divisible by 5, can it be divisible by 10? b. If a number is not divisible by 10, can it be divisibl      Log On


   



Question 357850: Answer each of the following and justify your answers.
a. If a number is not divisible by 5, can it be divisible by
10?
b. If a number is not divisible by 10, can it be divisible
by 5?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Answer each of the following and justify your answers.
a. If a number is not divisible by 5, can it be divisible by 10?
No.
If it's not divisible by 5, it has no factor of 5. 10 has a factor of 5.
--> not divisible by 10
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b. If a number is not divisible by 10, can it be divisible
by 5?
Yes.
An example is sufficient:
35 is not divisible by 10, but is by 5.
This applies to 5 x any odd integer.