Q: What are the factor combinations of the number 824,767?
A:
Positive:
1 x 82476737 x 22291
Negative:
-1 x -824767-37 x -22291
A:
Positive:
1 x 82476737 x 22291
Negative:
-1 x -824767-37 x -22291
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 824,767, 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 | 824,767 | |
-1 | -824,767 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 824,767.
Example:
1 x 824,767 = 824,767
and
-1 x -824,767 = 824,767
Notice both answers equal 824,767
With that explanation out of the way, let's continue. Next, we take the number 824,767 and divide it by 2:
824,767 ÷ 2 = 412,383.5
If the quotient is a whole number, then 2 and 412,383.5 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 | 824,767 | |
-1 | -824,767 |
Now, we try dividing 824,767 by 3:
824,767 ÷ 3 = 274,922.3333
If the quotient is a whole number, then 3 and 274,922.3333 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 | 824,767 | |
-1 | -824,767 |
Let's try dividing by 4:
824,767 ÷ 4 = 206,191.75
If the quotient is a whole number, then 4 and 206,191.75 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 | 824,767 | |
-1 | 824,767 |
If you did it right, you will end up with this table:
1 | 37 | 22,291 | 824,767 |
-1 | -37 | -22,291 | -824,767 |
Here are some more numbers to try:
Try the factor calculator