A:
Positive:
1 x 2100400255 x 4200800513 x 1615692523 x 913217525 x 840160165 x 3231385115 x 1826435299 x 702475325 x 646277575 x 3652871495 x 1404957475 x 28099
Negative:
-1 x -210040025-5 x -42008005-13 x -16156925-23 x -9132175-25 x -8401601-65 x -3231385-115 x -1826435-299 x -702475-325 x -646277-575 x -365287-1495 x -140495-7475 x -28099
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 210,040,025, 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 | 210,040,025 | |
| -1 | -210,040,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,040,025.
Example:
1 x 210,040,025 = 210,040,025
and
-1 x -210,040,025 = 210,040,025
Notice both answers equal 210,040,025
With that explanation out of the way, let's continue. Next, we take the number 210,040,025 and divide it by 2:
210,040,025 ÷ 2 = 105,020,012.5
If the quotient is a whole number, then 2 and 105,020,012.5 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 | 210,040,025 | |
| -1 | -210,040,025 |
Now, we try dividing 210,040,025 by 3:
210,040,025 ÷ 3 = 70,013,341.6667
If the quotient is a whole number, then 3 and 70,013,341.6667 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 | 210,040,025 | |
| -1 | -210,040,025 |
Let's try dividing by 4:
210,040,025 ÷ 4 = 52,510,006.25
If the quotient is a whole number, then 4 and 52,510,006.25 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 | 210,040,025 | |
| -1 | 210,040,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 23 | 25 | 65 | 115 | 299 | 325 | 575 | 1,495 | 7,475 | 28,099 | 140,495 | 365,287 | 646,277 | 702,475 | 1,826,435 | 3,231,385 | 8,401,601 | 9,132,175 | 16,156,925 | 42,008,005 | 210,040,025 |
| -1 | -5 | -13 | -23 | -25 | -65 | -115 | -299 | -325 | -575 | -1,495 | -7,475 | -28,099 | -140,495 | -365,287 | -646,277 | -702,475 | -1,826,435 | -3,231,385 | -8,401,601 | -9,132,175 | -16,156,925 | -42,008,005 | -210,040,025 |
Here are some more numbers to try:
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