A:
Positive:
1 x 2101160055 x 4202320111 x 1910145517 x 1235976555 x 382029185 x 2471953187 x 1123615289 x 727045935 x 2247231445 x 1454093179 x 6609513219 x 15895
Negative:
-1 x -210116005-5 x -42023201-11 x -19101455-17 x -12359765-55 x -3820291-85 x -2471953-187 x -1123615-289 x -727045-935 x -224723-1445 x -145409-3179 x -66095-13219 x -15895
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 210,116,005, 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 | 210,116,005 | |
| -1 | -210,116,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,116,005.
Example:
1 x 210,116,005 = 210,116,005
and
-1 x -210,116,005 = 210,116,005
Notice both answers equal 210,116,005
With that explanation out of the way, let's continue. Next, we take the number 210,116,005 and divide it by 2:
210,116,005 ÷ 2 = 105,058,002.5
If the quotient is a whole number, then 2 and 105,058,002.5 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 | 210,116,005 | |
| -1 | -210,116,005 |
Now, we try dividing 210,116,005 by 3:
210,116,005 ÷ 3 = 70,038,668.3333
If the quotient is a whole number, then 3 and 70,038,668.3333 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 | 210,116,005 | |
| -1 | -210,116,005 |
Let's try dividing by 4:
210,116,005 ÷ 4 = 52,529,001.25
If the quotient is a whole number, then 4 and 52,529,001.25 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 | 210,116,005 | |
| -1 | 210,116,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 17 | 55 | 85 | 187 | 289 | 935 | 1,445 | 3,179 | 13,219 | 15,895 | 66,095 | 145,409 | 224,723 | 727,045 | 1,123,615 | 2,471,953 | 3,820,291 | 12,359,765 | 19,101,455 | 42,023,201 | 210,116,005 |
| -1 | -5 | -11 | -17 | -55 | -85 | -187 | -289 | -935 | -1,445 | -3,179 | -13,219 | -15,895 | -66,095 | -145,409 | -224,723 | -727,045 | -1,123,615 | -2,471,953 | -3,820,291 | -12,359,765 | -19,101,455 | -42,023,201 | -210,116,005 |
Here are some more numbers to try:
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