A:
Positive:
1 x 2101404417 x 3002006343 x 4886987301 x 698141401 x 5240411741 x 1207012807 x 7486312187 x 17243
Negative:
-1 x -210140441-7 x -30020063-43 x -4886987-301 x -698141-401 x -524041-1741 x -120701-2807 x -74863-12187 x -17243
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 210,140,441, 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 | 210,140,441 | |
| -1 | -210,140,441 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,140,441.
Example:
1 x 210,140,441 = 210,140,441
and
-1 x -210,140,441 = 210,140,441
Notice both answers equal 210,140,441
With that explanation out of the way, let's continue. Next, we take the number 210,140,441 and divide it by 2:
210,140,441 ÷ 2 = 105,070,220.5
If the quotient is a whole number, then 2 and 105,070,220.5 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 | 210,140,441 | |
| -1 | -210,140,441 |
Now, we try dividing 210,140,441 by 3:
210,140,441 ÷ 3 = 70,046,813.6667
If the quotient is a whole number, then 3 and 70,046,813.6667 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 | 210,140,441 | |
| -1 | -210,140,441 |
Let's try dividing by 4:
210,140,441 ÷ 4 = 52,535,110.25
If the quotient is a whole number, then 4 and 52,535,110.25 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 | 210,140,441 | |
| -1 | 210,140,441 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 301 | 401 | 1,741 | 2,807 | 12,187 | 17,243 | 74,863 | 120,701 | 524,041 | 698,141 | 4,886,987 | 30,020,063 | 210,140,441 |
| -1 | -7 | -43 | -301 | -401 | -1,741 | -2,807 | -12,187 | -17,243 | -74,863 | -120,701 | -524,041 | -698,141 | -4,886,987 | -30,020,063 | -210,140,441 |
Here are some more numbers to try:
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