A:
Positive:
1 x 1353021355 x 2706042719 x 712116531 x 436458595 x 1424233155 x 872917589 x 2297152945 x 45943
Negative:
-1 x -135302135-5 x -27060427-19 x -7121165-31 x -4364585-95 x -1424233-155 x -872917-589 x -229715-2945 x -45943
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 135,302,135, 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 | 135,302,135 | |
| -1 | -135,302,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 135,302,135.
Example:
1 x 135,302,135 = 135,302,135
and
-1 x -135,302,135 = 135,302,135
Notice both answers equal 135,302,135
With that explanation out of the way, let's continue. Next, we take the number 135,302,135 and divide it by 2:
135,302,135 ÷ 2 = 67,651,067.5
If the quotient is a whole number, then 2 and 67,651,067.5 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 | 135,302,135 | |
| -1 | -135,302,135 |
Now, we try dividing 135,302,135 by 3:
135,302,135 ÷ 3 = 45,100,711.6667
If the quotient is a whole number, then 3 and 45,100,711.6667 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 | 135,302,135 | |
| -1 | -135,302,135 |
Let's try dividing by 4:
135,302,135 ÷ 4 = 33,825,533.75
If the quotient is a whole number, then 4 and 33,825,533.75 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 | 135,302,135 | |
| -1 | 135,302,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 31 | 95 | 155 | 589 | 2,945 | 45,943 | 229,715 | 872,917 | 1,424,233 | 4,364,585 | 7,121,165 | 27,060,427 | 135,302,135 |
| -1 | -5 | -19 | -31 | -95 | -155 | -589 | -2,945 | -45,943 | -229,715 | -872,917 | -1,424,233 | -4,364,585 | -7,121,165 | -27,060,427 | -135,302,135 |
Here are some more numbers to try:
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