A:
Positive:
1 x 4201224237 x 6001748949 x 857392797 x 4331159157 x 2675939563 x 746221679 x 6187371099 x 3822773941 x 1066034753 x 883917693 x 5461115229 x 27587
Negative:
-1 x -420122423-7 x -60017489-49 x -8573927-97 x -4331159-157 x -2675939-563 x -746221-679 x -618737-1099 x -382277-3941 x -106603-4753 x -88391-7693 x -54611-15229 x -27587
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 420,122,423, 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 | 420,122,423 | |
| -1 | -420,122,423 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 420,122,423.
Example:
1 x 420,122,423 = 420,122,423
and
-1 x -420,122,423 = 420,122,423
Notice both answers equal 420,122,423
With that explanation out of the way, let's continue. Next, we take the number 420,122,423 and divide it by 2:
420,122,423 ÷ 2 = 210,061,211.5
If the quotient is a whole number, then 2 and 210,061,211.5 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 | 420,122,423 | |
| -1 | -420,122,423 |
Now, we try dividing 420,122,423 by 3:
420,122,423 ÷ 3 = 140,040,807.6667
If the quotient is a whole number, then 3 and 140,040,807.6667 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 | 420,122,423 | |
| -1 | -420,122,423 |
Let's try dividing by 4:
420,122,423 ÷ 4 = 105,030,605.75
If the quotient is a whole number, then 4 and 105,030,605.75 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 | 420,122,423 | |
| -1 | 420,122,423 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 97 | 157 | 563 | 679 | 1,099 | 3,941 | 4,753 | 7,693 | 15,229 | 27,587 | 54,611 | 88,391 | 106,603 | 382,277 | 618,737 | 746,221 | 2,675,939 | 4,331,159 | 8,573,927 | 60,017,489 | 420,122,423 |
| -1 | -7 | -49 | -97 | -157 | -563 | -679 | -1,099 | -3,941 | -4,753 | -7,693 | -15,229 | -27,587 | -54,611 | -88,391 | -106,603 | -382,277 | -618,737 | -746,221 | -2,675,939 | -4,331,159 | -8,573,927 | -60,017,489 | -420,122,423 |
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