A:
Positive:
1 x 1001421555 x 2002843117 x 589071585 x 1178143149 x 672095745 x 1344192533 x 395357907 x 12665
Negative:
-1 x -100142155-5 x -20028431-17 x -5890715-85 x -1178143-149 x -672095-745 x -134419-2533 x -39535-7907 x -12665
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 100,142,155, 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 | 100,142,155 | |
| -1 | -100,142,155 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,142,155.
Example:
1 x 100,142,155 = 100,142,155
and
-1 x -100,142,155 = 100,142,155
Notice both answers equal 100,142,155
With that explanation out of the way, let's continue. Next, we take the number 100,142,155 and divide it by 2:
100,142,155 ÷ 2 = 50,071,077.5
If the quotient is a whole number, then 2 and 50,071,077.5 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 | 100,142,155 | |
| -1 | -100,142,155 |
Now, we try dividing 100,142,155 by 3:
100,142,155 ÷ 3 = 33,380,718.3333
If the quotient is a whole number, then 3 and 33,380,718.3333 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 | 100,142,155 | |
| -1 | -100,142,155 |
Let's try dividing by 4:
100,142,155 ÷ 4 = 25,035,538.75
If the quotient is a whole number, then 4 and 25,035,538.75 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 | 100,142,155 | |
| -1 | 100,142,155 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 149 | 745 | 2,533 | 7,907 | 12,665 | 39,535 | 134,419 | 672,095 | 1,178,143 | 5,890,715 | 20,028,431 | 100,142,155 |
| -1 | -5 | -17 | -85 | -149 | -745 | -2,533 | -7,907 | -12,665 | -39,535 | -134,419 | -672,095 | -1,178,143 | -5,890,715 | -20,028,431 | -100,142,155 |
Here are some more numbers to try:
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