Q: What are the factor combinations of the number 66,167?
A:
Positive:
1 x 66167127 x 521
Negative:
-1 x -66167-127 x -521
A:
Positive:
1 x 66167127 x 521
Negative:
-1 x -66167-127 x -521
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 66,167, 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 | 66,167 | |
-1 | -66,167 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 66,167.
Example:
1 x 66,167 = 66,167
and
-1 x -66,167 = 66,167
Notice both answers equal 66,167
With that explanation out of the way, let's continue. Next, we take the number 66,167 and divide it by 2:
66,167 ÷ 2 = 33,083.5
If the quotient is a whole number, then 2 and 33,083.5 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 | 66,167 | |
-1 | -66,167 |
Now, we try dividing 66,167 by 3:
66,167 ÷ 3 = 22,055.6667
If the quotient is a whole number, then 3 and 22,055.6667 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 | 66,167 | |
-1 | -66,167 |
Let's try dividing by 4:
66,167 ÷ 4 = 16,541.75
If the quotient is a whole number, then 4 and 16,541.75 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 | 66,167 | |
-1 | 66,167 |
If you did it right, you will end up with this table:
1 | 127 | 521 | 66,167 |
-1 | -127 | -521 | -66,167 |
Here are some more numbers to try:
Try the factor calculator