A:
Positive:
1 x 4264775697 x 6092536723 x 1854250343 x 9918083161 x 2648929301 x 1416869989 x 4312216923 x 61603
Negative:
-1 x -426477569-7 x -60925367-23 x -18542503-43 x -9918083-161 x -2648929-301 x -1416869-989 x -431221-6923 x -61603
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 426,477,569, 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 | 426,477,569 | |
| -1 | -426,477,569 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 426,477,569.
Example:
1 x 426,477,569 = 426,477,569
and
-1 x -426,477,569 = 426,477,569
Notice both answers equal 426,477,569
With that explanation out of the way, let's continue. Next, we take the number 426,477,569 and divide it by 2:
426,477,569 ÷ 2 = 213,238,784.5
If the quotient is a whole number, then 2 and 213,238,784.5 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 | 426,477,569 | |
| -1 | -426,477,569 |
Now, we try dividing 426,477,569 by 3:
426,477,569 ÷ 3 = 142,159,189.6667
If the quotient is a whole number, then 3 and 142,159,189.6667 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 | 426,477,569 | |
| -1 | -426,477,569 |
Let's try dividing by 4:
426,477,569 ÷ 4 = 106,619,392.25
If the quotient is a whole number, then 4 and 106,619,392.25 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 | 426,477,569 | |
| -1 | 426,477,569 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 43 | 161 | 301 | 989 | 6,923 | 61,603 | 431,221 | 1,416,869 | 2,648,929 | 9,918,083 | 18,542,503 | 60,925,367 | 426,477,569 |
| -1 | -7 | -23 | -43 | -161 | -301 | -989 | -6,923 | -61,603 | -431,221 | -1,416,869 | -2,648,929 | -9,918,083 | -18,542,503 | -60,925,367 | -426,477,569 |
Here are some more numbers to try:
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