A:
Positive:
1 x 1011354655 x 2022709317 x 594914585 x 1189829211 x 4793151055 x 958633587 x 281955639 x 17935
Negative:
-1 x -101135465-5 x -20227093-17 x -5949145-85 x -1189829-211 x -479315-1055 x -95863-3587 x -28195-5639 x -17935
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 101,135,465, 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 | 101,135,465 | |
| -1 | -101,135,465 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,135,465.
Example:
1 x 101,135,465 = 101,135,465
and
-1 x -101,135,465 = 101,135,465
Notice both answers equal 101,135,465
With that explanation out of the way, let's continue. Next, we take the number 101,135,465 and divide it by 2:
101,135,465 ÷ 2 = 50,567,732.5
If the quotient is a whole number, then 2 and 50,567,732.5 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 | 101,135,465 | |
| -1 | -101,135,465 |
Now, we try dividing 101,135,465 by 3:
101,135,465 ÷ 3 = 33,711,821.6667
If the quotient is a whole number, then 3 and 33,711,821.6667 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 | 101,135,465 | |
| -1 | -101,135,465 |
Let's try dividing by 4:
101,135,465 ÷ 4 = 25,283,866.25
If the quotient is a whole number, then 4 and 25,283,866.25 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 | 101,135,465 | |
| -1 | 101,135,465 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 211 | 1,055 | 3,587 | 5,639 | 17,935 | 28,195 | 95,863 | 479,315 | 1,189,829 | 5,949,145 | 20,227,093 | 101,135,465 |
| -1 | -5 | -17 | -85 | -211 | -1,055 | -3,587 | -5,639 | -17,935 | -28,195 | -95,863 | -479,315 | -1,189,829 | -5,949,145 | -20,227,093 | -101,135,465 |
Here are some more numbers to try:
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