A:
Positive:
1 x 1351004277 x 1930006111 x 1228185777 x 1754551113 x 1195579791 x 1707971243 x 1086898701 x 15527
Negative:
-1 x -135100427-7 x -19300061-11 x -12281857-77 x -1754551-113 x -1195579-791 x -170797-1243 x -108689-8701 x -15527
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 135,100,427, 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 | 135,100,427 | |
| -1 | -135,100,427 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 135,100,427.
Example:
1 x 135,100,427 = 135,100,427
and
-1 x -135,100,427 = 135,100,427
Notice both answers equal 135,100,427
With that explanation out of the way, let's continue. Next, we take the number 135,100,427 and divide it by 2:
135,100,427 ÷ 2 = 67,550,213.5
If the quotient is a whole number, then 2 and 67,550,213.5 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 | 135,100,427 | |
| -1 | -135,100,427 |
Now, we try dividing 135,100,427 by 3:
135,100,427 ÷ 3 = 45,033,475.6667
If the quotient is a whole number, then 3 and 45,033,475.6667 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 | 135,100,427 | |
| -1 | -135,100,427 |
Let's try dividing by 4:
135,100,427 ÷ 4 = 33,775,106.75
If the quotient is a whole number, then 4 and 33,775,106.75 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 | 135,100,427 | |
| -1 | 135,100,427 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 113 | 791 | 1,243 | 8,701 | 15,527 | 108,689 | 170,797 | 1,195,579 | 1,754,551 | 12,281,857 | 19,300,061 | 135,100,427 |
| -1 | -7 | -11 | -77 | -113 | -791 | -1,243 | -8,701 | -15,527 | -108,689 | -170,797 | -1,195,579 | -1,754,551 | -12,281,857 | -19,300,061 | -135,100,427 |
Here are some more numbers to try:
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