Q: What are the factor combinations of the number 61?
A:
Positive:
1 x 61
Negative:
-1 x -61
A:
Positive:
1 x 61
Negative:
-1 x -61
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 61, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 61 | |
| -1 | -61 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 61.
Example:
1 x 61 = 61
and
-1 x -61 = 61
Notice both answers equal 61
With that explanation out of the way, let's continue. Next, we take the number 61 and divide it by 2:
61 ÷ 2 = 30.5
If the quotient is a whole number, then 2 and 30.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 61 | |
| -1 | -61 |
Now, we try dividing 61 by 3:
61 ÷ 3 = 20.3333
If the quotient is a whole number, then 3 and 20.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 61 | |
| -1 | -61 |
Let's try dividing by 4:
61 ÷ 4 = 15.25
If the quotient is a whole number, then 4 and 15.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 61 | |
| -1 | 61 |
If you did it right, you will end up with this table:
| 1 | 61 |
| -1 | -61 |
Here are some more numbers to try:
Try the factor calculator