Q: What are the factor combinations of the number 280,093?
A:
Positive:
1 x 28009311 x 25463
Negative:
-1 x -280093-11 x -25463
A:
Positive:
1 x 28009311 x 25463
Negative:
-1 x -280093-11 x -25463
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 280,093, 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 | 280,093 | |
-1 | -280,093 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 280,093.
Example:
1 x 280,093 = 280,093
and
-1 x -280,093 = 280,093
Notice both answers equal 280,093
With that explanation out of the way, let's continue. Next, we take the number 280,093 and divide it by 2:
280,093 ÷ 2 = 140,046.5
If the quotient is a whole number, then 2 and 140,046.5 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 | 280,093 | |
-1 | -280,093 |
Now, we try dividing 280,093 by 3:
280,093 ÷ 3 = 93,364.3333
If the quotient is a whole number, then 3 and 93,364.3333 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 | 280,093 | |
-1 | -280,093 |
Let's try dividing by 4:
280,093 ÷ 4 = 70,023.25
If the quotient is a whole number, then 4 and 70,023.25 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 | 280,093 | |
-1 | 280,093 |
If you did it right, you will end up with this table:
1 | 11 | 25,463 | 280,093 |
-1 | -11 | -25,463 | -280,093 |
Here are some more numbers to try:
Try the factor calculator