Q: What are the factor combinations of the number 139,189?
A:
Positive:
1 x 139189181 x 769
Negative:
-1 x -139189-181 x -769
A:
Positive:
1 x 139189181 x 769
Negative:
-1 x -139189-181 x -769
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 139,189, 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 | 139,189 | |
-1 | -139,189 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 139,189.
Example:
1 x 139,189 = 139,189
and
-1 x -139,189 = 139,189
Notice both answers equal 139,189
With that explanation out of the way, let's continue. Next, we take the number 139,189 and divide it by 2:
139,189 ÷ 2 = 69,594.5
If the quotient is a whole number, then 2 and 69,594.5 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 | 139,189 | |
-1 | -139,189 |
Now, we try dividing 139,189 by 3:
139,189 ÷ 3 = 46,396.3333
If the quotient is a whole number, then 3 and 46,396.3333 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 | 139,189 | |
-1 | -139,189 |
Let's try dividing by 4:
139,189 ÷ 4 = 34,797.25
If the quotient is a whole number, then 4 and 34,797.25 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 | 139,189 | |
-1 | 139,189 |
If you did it right, you will end up with this table:
1 | 181 | 769 | 139,189 |
-1 | -181 | -769 | -139,189 |
Here are some more numbers to try:
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