A:
Positive:
1 x 4263136017 x 6090194329 x 14700469103 x 4138967203 x 2100067721 x 5912812987 x 14272320389 x 20909
Negative:
-1 x -426313601-7 x -60901943-29 x -14700469-103 x -4138967-203 x -2100067-721 x -591281-2987 x -142723-20389 x -20909
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 426,313,601, 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 | 426,313,601 | |
| -1 | -426,313,601 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 426,313,601.
Example:
1 x 426,313,601 = 426,313,601
and
-1 x -426,313,601 = 426,313,601
Notice both answers equal 426,313,601
With that explanation out of the way, let's continue. Next, we take the number 426,313,601 and divide it by 2:
426,313,601 ÷ 2 = 213,156,800.5
If the quotient is a whole number, then 2 and 213,156,800.5 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 | 426,313,601 | |
| -1 | -426,313,601 |
Now, we try dividing 426,313,601 by 3:
426,313,601 ÷ 3 = 142,104,533.6667
If the quotient is a whole number, then 3 and 142,104,533.6667 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 | 426,313,601 | |
| -1 | -426,313,601 |
Let's try dividing by 4:
426,313,601 ÷ 4 = 106,578,400.25
If the quotient is a whole number, then 4 and 106,578,400.25 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 | 426,313,601 | |
| -1 | 426,313,601 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 103 | 203 | 721 | 2,987 | 20,389 | 20,909 | 142,723 | 591,281 | 2,100,067 | 4,138,967 | 14,700,469 | 60,901,943 | 426,313,601 |
| -1 | -7 | -29 | -103 | -203 | -721 | -2,987 | -20,389 | -20,909 | -142,723 | -591,281 | -2,100,067 | -4,138,967 | -14,700,469 | -60,901,943 | -426,313,601 |
Here are some more numbers to try:
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