Q: What are the factor combinations of the number 267,103?
A:
Positive:
1 x 26710337 x 7219
Negative:
-1 x -267103-37 x -7219
A:
Positive:
1 x 26710337 x 7219
Negative:
-1 x -267103-37 x -7219
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 267,103, 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 | 267,103 | |
-1 | -267,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 267,103.
Example:
1 x 267,103 = 267,103
and
-1 x -267,103 = 267,103
Notice both answers equal 267,103
With that explanation out of the way, let's continue. Next, we take the number 267,103 and divide it by 2:
267,103 ÷ 2 = 133,551.5
If the quotient is a whole number, then 2 and 133,551.5 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 | 267,103 | |
-1 | -267,103 |
Now, we try dividing 267,103 by 3:
267,103 ÷ 3 = 89,034.3333
If the quotient is a whole number, then 3 and 89,034.3333 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 | 267,103 | |
-1 | -267,103 |
Let's try dividing by 4:
267,103 ÷ 4 = 66,775.75
If the quotient is a whole number, then 4 and 66,775.75 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 | 267,103 | |
-1 | 267,103 |
If you did it right, you will end up with this table:
1 | 37 | 7,219 | 267,103 |
-1 | -37 | -7,219 | -267,103 |
Here are some more numbers to try:
Try the factor calculator