Question
Does every number have an even number of factors?
✓
Answer
Not every number has an even number of factors. Only perfect squares have an odd number of factors, because they each have one factor which, when multiplied by itself, equals the number.
| Number | Factors | Number of factors |
| 1 | 1 | 1 (odd) |
| 2 | 1, 2 | 2 (even) |
| 3 | 1, 3 | 2 (even) |
| 4 | 1, 2, 4 | 3 (odd) |
| 5 | 1, 5 | 2 (even) |
| 6 | 1, 2, 3, 6 | 4 (even) |
| 7 | 1, 7 | 2 (even) |
| 8 | 1, 2, 4, 8 | 4 (even) |
| 9 | 1, 3, 9 | 3 (odd) |
| 10 | 1, 2, 5, 10 | 4 (even) |
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second.
$a.$ Which two machines hooked together do the same work a $(x102)$ machine does? Is there more than one arrangement of two machines that will work?
$b.$ Which stretching machine does the same work as two $(x2)$ machines hooked together?
→$a.$ Which two machines hooked together do the same work a $(x102)$ machine does? Is there more than one arrangement of two machines that will work?
$b.$ Which stretching machine does the same work as two $(x2)$ machines hooked together?
Pipes $A$ and $B$ can fill an empty tank in $10$ hours and $15$ hours respectively. If both are opened together in the empty tank, how much time will they take to fill it completely?
→Simplify $\text{x}(3 \text{x}+2 \text{y})-\text{y}(3 \text{x}-2 \text{y}).$
→Evaluate: $125\sqrt[3]{\text{a}^6}-\sqrt[3]{125\text{a}^6}$
→A hollow garden roller of $42\ cm$ diameter and length $152\ cm$ is made of cast iron $2\ cm$ thick. Find the volume of iron used in the roller.
→In parallelogram $FIST,$ find $\angle\text{SFT},\angle\text{OST}\ \text{and}\ \angle\text{STO}.$
→A solid rectangular piece of iron measures $1.05\ m \times 70\ cm \times 1.5\ cm$. Find the weight of this piece in kilograms if $1cm^3$ of iron weighs $8$ grams.
→In a trapezium $A B C D, M C$ and $M D$ are bisectors of $\angle C$ and $\angle D$, respectively. Find $\angle A B C$ and $\angle B A D$.
→For each of the following numbers, find the smallest, whole number by which it should be divided, so as to get a perfect square. Also, find the square root of the square number so obtained.
252
252
For the development of basic infrastructure in a district, a project of Rs $108$ crore approved by Development Bank is as follows:
Draw a pie chart for this data.
→|
Item Head
|
Road
|
Electricity
|
Drinking water
|
Sewerage
|
|
Ammount in crore (Rs.)
|
$43.2$
|
$16.2$
|
$27.00$
|
$21.6$
|