Question
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Answer
9 is not a factor of 3 because 3 divided by 9 does not result in an integer.
Solution
To determine if 9 is a factor of 3, we need to understand the definition of a factor. A number
is considered a factor of another number
if there exists an integer
such that:
In this case, we want to check if there exists an integer
such that:
Now, let’s solve for
:
Calculating this gives:
Since
is not an integer (it is a fraction), we conclude that there is no integer
that satisfies the equation. Therefore, 9 is not a factor of 3.
In summary, 9 is not a factor of 3 because it does not divide 3 evenly.
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Mind Expander
No, 9 is not a factor of 3. A factor is a number that can divide another number without leaving a remainder. Since 3 is much smaller than 9, 9 can’t fit into 3 even once! Essentially, for 9 to be a factor of another number, that number must be at least 9. In this case, 3 is just too small.
If you think of factors like pieces of a puzzle that fit into a whole, 9 is too big to fit into 3. Instead, the factors of 3 are 1 and 3 itself, as those can perfectly divide 3 with no leftover pieces!