A:
Positive:
1 x 12022102313 x 924777123 x 5227001157 x 765739169 x 711367197 x 610259299 x 4020772041 x 589032561 x 469433611 x 332933887 x 309294531 x 26533
Negative:
-1 x -120221023-13 x -9247771-23 x -5227001-157 x -765739-169 x -711367-197 x -610259-299 x -402077-2041 x -58903-2561 x -46943-3611 x -33293-3887 x -30929-4531 x -26533
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 120,221,023, 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 | 120,221,023 | |
| -1 | -120,221,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,221,023.
Example:
1 x 120,221,023 = 120,221,023
and
-1 x -120,221,023 = 120,221,023
Notice both answers equal 120,221,023
With that explanation out of the way, let's continue. Next, we take the number 120,221,023 and divide it by 2:
120,221,023 ÷ 2 = 60,110,511.5
If the quotient is a whole number, then 2 and 60,110,511.5 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 | 120,221,023 | |
| -1 | -120,221,023 |
Now, we try dividing 120,221,023 by 3:
120,221,023 ÷ 3 = 40,073,674.3333
If the quotient is a whole number, then 3 and 40,073,674.3333 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 | 120,221,023 | |
| -1 | -120,221,023 |
Let's try dividing by 4:
120,221,023 ÷ 4 = 30,055,255.75
If the quotient is a whole number, then 4 and 30,055,255.75 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 | 120,221,023 | |
| -1 | 120,221,023 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 157 | 169 | 197 | 299 | 2,041 | 2,561 | 3,611 | 3,887 | 4,531 | 26,533 | 30,929 | 33,293 | 46,943 | 58,903 | 402,077 | 610,259 | 711,367 | 765,739 | 5,227,001 | 9,247,771 | 120,221,023 |
| -1 | -13 | -23 | -157 | -169 | -197 | -299 | -2,041 | -2,561 | -3,611 | -3,887 | -4,531 | -26,533 | -30,929 | -33,293 | -46,943 | -58,903 | -402,077 | -610,259 | -711,367 | -765,739 | -5,227,001 | -9,247,771 | -120,221,023 |
Here are some more numbers to try:
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