A:
Positive:
1 x 1016413097 x 1452018711 x 924011977 x 1320017661 x 1537691997 x 508974627 x 219677271 x 13979
Negative:
-1 x -101641309-7 x -14520187-11 x -9240119-77 x -1320017-661 x -153769-1997 x -50897-4627 x -21967-7271 x -13979
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 101,641,309, 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 | 101,641,309 | |
| -1 | -101,641,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,641,309.
Example:
1 x 101,641,309 = 101,641,309
and
-1 x -101,641,309 = 101,641,309
Notice both answers equal 101,641,309
With that explanation out of the way, let's continue. Next, we take the number 101,641,309 and divide it by 2:
101,641,309 ÷ 2 = 50,820,654.5
If the quotient is a whole number, then 2 and 50,820,654.5 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 | 101,641,309 | |
| -1 | -101,641,309 |
Now, we try dividing 101,641,309 by 3:
101,641,309 ÷ 3 = 33,880,436.3333
If the quotient is a whole number, then 3 and 33,880,436.3333 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 | 101,641,309 | |
| -1 | -101,641,309 |
Let's try dividing by 4:
101,641,309 ÷ 4 = 25,410,327.25
If the quotient is a whole number, then 4 and 25,410,327.25 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 | 101,641,309 | |
| -1 | 101,641,309 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 661 | 1,997 | 4,627 | 7,271 | 13,979 | 21,967 | 50,897 | 153,769 | 1,320,017 | 9,240,119 | 14,520,187 | 101,641,309 |
| -1 | -7 | -11 | -77 | -661 | -1,997 | -4,627 | -7,271 | -13,979 | -21,967 | -50,897 | -153,769 | -1,320,017 | -9,240,119 | -14,520,187 | -101,641,309 |
Here are some more numbers to try:
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