A:
Positive:
1 x 14420442117 x 848261341 x 3517181313 x 460717661 x 218161697 x 2068935321 x 2710111237 x 12833
Negative:
-1 x -144204421-17 x -8482613-41 x -3517181-313 x -460717-661 x -218161-697 x -206893-5321 x -27101-11237 x -12833
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 144,204,421, 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 | 144,204,421 | |
| -1 | -144,204,421 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 144,204,421.
Example:
1 x 144,204,421 = 144,204,421
and
-1 x -144,204,421 = 144,204,421
Notice both answers equal 144,204,421
With that explanation out of the way, let's continue. Next, we take the number 144,204,421 and divide it by 2:
144,204,421 ÷ 2 = 72,102,210.5
If the quotient is a whole number, then 2 and 72,102,210.5 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 | 144,204,421 | |
| -1 | -144,204,421 |
Now, we try dividing 144,204,421 by 3:
144,204,421 ÷ 3 = 48,068,140.3333
If the quotient is a whole number, then 3 and 48,068,140.3333 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 | 144,204,421 | |
| -1 | -144,204,421 |
Let's try dividing by 4:
144,204,421 ÷ 4 = 36,051,105.25
If the quotient is a whole number, then 4 and 36,051,105.25 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 | 144,204,421 | |
| -1 | 144,204,421 |
If you did it right, you will end up with this table:
| 1 | 17 | 41 | 313 | 661 | 697 | 5,321 | 11,237 | 12,833 | 27,101 | 206,893 | 218,161 | 460,717 | 3,517,181 | 8,482,613 | 144,204,421 |
| -1 | -17 | -41 | -313 | -661 | -697 | -5,321 | -11,237 | -12,833 | -27,101 | -206,893 | -218,161 | -460,717 | -3,517,181 | -8,482,613 | -144,204,421 |
Here are some more numbers to try:
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