A:
Positive:
1 x 82507161723 x 3587267953 x 1556738971 x 116207271219 x 6768431633 x 5052493763 x 2192599533 x 86549
Negative:
-1 x -825071617-23 x -35872679-53 x -15567389-71 x -11620727-1219 x -676843-1633 x -505249-3763 x -219259-9533 x -86549
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 825,071,617, 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 | 825,071,617 | |
| -1 | -825,071,617 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 825,071,617.
Example:
1 x 825,071,617 = 825,071,617
and
-1 x -825,071,617 = 825,071,617
Notice both answers equal 825,071,617
With that explanation out of the way, let's continue. Next, we take the number 825,071,617 and divide it by 2:
825,071,617 ÷ 2 = 412,535,808.5
If the quotient is a whole number, then 2 and 412,535,808.5 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 | 825,071,617 | |
| -1 | -825,071,617 |
Now, we try dividing 825,071,617 by 3:
825,071,617 ÷ 3 = 275,023,872.3333
If the quotient is a whole number, then 3 and 275,023,872.3333 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 | 825,071,617 | |
| -1 | -825,071,617 |
Let's try dividing by 4:
825,071,617 ÷ 4 = 206,267,904.25
If the quotient is a whole number, then 4 and 206,267,904.25 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 | 825,071,617 | |
| -1 | 825,071,617 |
If you did it right, you will end up with this table:
| 1 | 23 | 53 | 71 | 1,219 | 1,633 | 3,763 | 9,533 | 86,549 | 219,259 | 505,249 | 676,843 | 11,620,727 | 15,567,389 | 35,872,679 | 825,071,617 |
| -1 | -23 | -53 | -71 | -1,219 | -1,633 | -3,763 | -9,533 | -86,549 | -219,259 | -505,249 | -676,843 | -11,620,727 | -15,567,389 | -35,872,679 | -825,071,617 |
Here are some more numbers to try:
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