Q: What are the factor combinations of the number 812,569?
A:
Positive:
1 x 81256997 x 8377
Negative:
-1 x -812569-97 x -8377
A:
Positive:
1 x 81256997 x 8377
Negative:
-1 x -812569-97 x -8377
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 812,569, 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 | 812,569 | |
-1 | -812,569 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 812,569.
Example:
1 x 812,569 = 812,569
and
-1 x -812,569 = 812,569
Notice both answers equal 812,569
With that explanation out of the way, let's continue. Next, we take the number 812,569 and divide it by 2:
812,569 ÷ 2 = 406,284.5
If the quotient is a whole number, then 2 and 406,284.5 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 | 812,569 | |
-1 | -812,569 |
Now, we try dividing 812,569 by 3:
812,569 ÷ 3 = 270,856.3333
If the quotient is a whole number, then 3 and 270,856.3333 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 | 812,569 | |
-1 | -812,569 |
Let's try dividing by 4:
812,569 ÷ 4 = 203,142.25
If the quotient is a whole number, then 4 and 203,142.25 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 | 812,569 | |
-1 | 812,569 |
If you did it right, you will end up with this table:
1 | 97 | 8,377 | 812,569 |
-1 | -97 | -8,377 | -812,569 |
Here are some more numbers to try:
Try the factor calculator