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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 \( a \) is considered a factor of another number \( b \) if there exists an integer \( k \) such that:
\[
b = a \times k
\]
In this case, we want to check if there exists an integer \( k \) such that:
\[
3 = 9 \times k
\]
Now, let's solve for \( k \):
\[
k = \frac{3}{9}
\]
Calculating this gives:
\[
k = \frac{1}{3}
\]
Since \( k \) is not an integer (it is a fraction), we conclude that there is no integer \( k \) 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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Simplify this solution 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!
