Q: What are the factor combinations of the number 136,567?
A:
Positive:
1 x 13656737 x 3691
Negative:
-1 x -136567-37 x -3691
A:
Positive:
1 x 13656737 x 3691
Negative:
-1 x -136567-37 x -3691
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 136,567, 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 | 136,567 | |
-1 | -136,567 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 136,567.
Example:
1 x 136,567 = 136,567
and
-1 x -136,567 = 136,567
Notice both answers equal 136,567
With that explanation out of the way, let's continue. Next, we take the number 136,567 and divide it by 2:
136,567 ÷ 2 = 68,283.5
If the quotient is a whole number, then 2 and 68,283.5 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 | 136,567 | |
-1 | -136,567 |
Now, we try dividing 136,567 by 3:
136,567 ÷ 3 = 45,522.3333
If the quotient is a whole number, then 3 and 45,522.3333 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 | 136,567 | |
-1 | -136,567 |
Let's try dividing by 4:
136,567 ÷ 4 = 34,141.75
If the quotient is a whole number, then 4 and 34,141.75 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 | 136,567 | |
-1 | 136,567 |
If you did it right, you will end up with this table:
1 | 37 | 3,691 | 136,567 |
-1 | -37 | -3,691 | -136,567 |
Here are some more numbers to try:
Try the factor calculator