Posted by **Lyndse** on Sunday, October 4, 2009 at 1:34pm.

Determine whether the statement is true or false. Show or explain why.

If n is a natural number and 4 | n, then 8 | n.

- Math -
**Reiny**, Sunday, October 4, 2009 at 1:46pm
Ok, have seen this question several times.

Have been ignoring it since I don't know what 4│n is supposed to mean.

Does it mean "n is divisible by 4" ?

Perhaps another math expert can confirm.

If it means as I stated, then your question can be expressed to say,

"If n is a natural number and n is divisible by 4, then n is divisible by 8"

Of course that statement is false.

e.g. n = 20

(All I need is one exception to rule out a generality)

- Math -
**Lyndse**, Sunday, October 4, 2009 at 1:49pm
Yes, it meant divisible by, or I am assuming so. That is how it was asked on paper. So, the answer isn't true.

- Math -
**PsyDAG**, Monday, October 5, 2009 at 10:56am
For future posts, n/8 = n divided by 8.

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