A:
Positive:
1 x 354241097 x 506058729 x 122152149 x 72294197 x 365197203 x 174503257 x 137837679 x 521711421 x 249291799 x 196912813 x 125934753 x 7453
Negative:
-1 x -35424109-7 x -5060587-29 x -1221521-49 x -722941-97 x -365197-203 x -174503-257 x -137837-679 x -52171-1421 x -24929-1799 x -19691-2813 x -12593-4753 x -7453
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 35,424,109, 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 | 35,424,109 | |
| -1 | -35,424,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,424,109.
Example:
1 x 35,424,109 = 35,424,109
and
-1 x -35,424,109 = 35,424,109
Notice both answers equal 35,424,109
With that explanation out of the way, let's continue. Next, we take the number 35,424,109 and divide it by 2:
35,424,109 ÷ 2 = 17,712,054.5
If the quotient is a whole number, then 2 and 17,712,054.5 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 | 35,424,109 | |
| -1 | -35,424,109 |
Now, we try dividing 35,424,109 by 3:
35,424,109 ÷ 3 = 11,808,036.3333
If the quotient is a whole number, then 3 and 11,808,036.3333 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 | 35,424,109 | |
| -1 | -35,424,109 |
Let's try dividing by 4:
35,424,109 ÷ 4 = 8,856,027.25
If the quotient is a whole number, then 4 and 8,856,027.25 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 | 35,424,109 | |
| -1 | 35,424,109 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 49 | 97 | 203 | 257 | 679 | 1,421 | 1,799 | 2,813 | 4,753 | 7,453 | 12,593 | 19,691 | 24,929 | 52,171 | 137,837 | 174,503 | 365,197 | 722,941 | 1,221,521 | 5,060,587 | 35,424,109 |
| -1 | -7 | -29 | -49 | -97 | -203 | -257 | -679 | -1,421 | -1,799 | -2,813 | -4,753 | -7,453 | -12,593 | -19,691 | -24,929 | -52,171 | -137,837 | -174,503 | -365,197 | -722,941 | -1,221,521 | -5,060,587 | -35,424,109 |
Here are some more numbers to try:
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