A:
Positive:
1 x 1351426797 x 1930609743 x 3142853257 x 525847301 x 4489791747 x 773571799 x 7512111051 x 12229
Negative:
-1 x -135142679-7 x -19306097-43 x -3142853-257 x -525847-301 x -448979-1747 x -77357-1799 x -75121-11051 x -12229
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 135,142,679, 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 | 135,142,679 | |
| -1 | -135,142,679 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 135,142,679.
Example:
1 x 135,142,679 = 135,142,679
and
-1 x -135,142,679 = 135,142,679
Notice both answers equal 135,142,679
With that explanation out of the way, let's continue. Next, we take the number 135,142,679 and divide it by 2:
135,142,679 ÷ 2 = 67,571,339.5
If the quotient is a whole number, then 2 and 67,571,339.5 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 | 135,142,679 | |
| -1 | -135,142,679 |
Now, we try dividing 135,142,679 by 3:
135,142,679 ÷ 3 = 45,047,559.6667
If the quotient is a whole number, then 3 and 45,047,559.6667 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 | 135,142,679 | |
| -1 | -135,142,679 |
Let's try dividing by 4:
135,142,679 ÷ 4 = 33,785,669.75
If the quotient is a whole number, then 4 and 33,785,669.75 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 | 135,142,679 | |
| -1 | 135,142,679 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 257 | 301 | 1,747 | 1,799 | 11,051 | 12,229 | 75,121 | 77,357 | 448,979 | 525,847 | 3,142,853 | 19,306,097 | 135,142,679 |
| -1 | -7 | -43 | -257 | -301 | -1,747 | -1,799 | -11,051 | -12,229 | -75,121 | -77,357 | -448,979 | -525,847 | -3,142,853 | -19,306,097 | -135,142,679 |
Here are some more numbers to try:
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