Q: What are the factor combinations of the number 267,577?
A:
Positive:
1 x 26757719 x 14083
Negative:
-1 x -267577-19 x -14083
A:
Positive:
1 x 26757719 x 14083
Negative:
-1 x -267577-19 x -14083
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 267,577, 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 | 267,577 | |
-1 | -267,577 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 267,577.
Example:
1 x 267,577 = 267,577
and
-1 x -267,577 = 267,577
Notice both answers equal 267,577
With that explanation out of the way, let's continue. Next, we take the number 267,577 and divide it by 2:
267,577 ÷ 2 = 133,788.5
If the quotient is a whole number, then 2 and 133,788.5 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 | 267,577 | |
-1 | -267,577 |
Now, we try dividing 267,577 by 3:
267,577 ÷ 3 = 89,192.3333
If the quotient is a whole number, then 3 and 89,192.3333 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 | 267,577 | |
-1 | -267,577 |
Let's try dividing by 4:
267,577 ÷ 4 = 66,894.25
If the quotient is a whole number, then 4 and 66,894.25 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 | 267,577 | |
-1 | 267,577 |
If you did it right, you will end up with this table:
1 | 19 | 14,083 | 267,577 |
-1 | -19 | -14,083 | -267,577 |
Here are some more numbers to try:
Try the factor calculator