A:
Positive:
1 x 2212200255 x 4424400513 x 1701692525 x 884880165 x 340338571 x 3115775325 x 680677355 x 623155923 x 2396751775 x 1246314615 x 479359587 x 23075
Negative:
-1 x -221220025-5 x -44244005-13 x -17016925-25 x -8848801-65 x -3403385-71 x -3115775-325 x -680677-355 x -623155-923 x -239675-1775 x -124631-4615 x -47935-9587 x -23075
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 221,220,025, 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 | 221,220,025 | |
| -1 | -221,220,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,220,025.
Example:
1 x 221,220,025 = 221,220,025
and
-1 x -221,220,025 = 221,220,025
Notice both answers equal 221,220,025
With that explanation out of the way, let's continue. Next, we take the number 221,220,025 and divide it by 2:
221,220,025 ÷ 2 = 110,610,012.5
If the quotient is a whole number, then 2 and 110,610,012.5 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 | 221,220,025 | |
| -1 | -221,220,025 |
Now, we try dividing 221,220,025 by 3:
221,220,025 ÷ 3 = 73,740,008.3333
If the quotient is a whole number, then 3 and 73,740,008.3333 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 | 221,220,025 | |
| -1 | -221,220,025 |
Let's try dividing by 4:
221,220,025 ÷ 4 = 55,305,006.25
If the quotient is a whole number, then 4 and 55,305,006.25 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 | 221,220,025 | |
| -1 | 221,220,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 71 | 325 | 355 | 923 | 1,775 | 4,615 | 9,587 | 23,075 | 47,935 | 124,631 | 239,675 | 623,155 | 680,677 | 3,115,775 | 3,403,385 | 8,848,801 | 17,016,925 | 44,244,005 | 221,220,025 |
| -1 | -5 | -13 | -25 | -65 | -71 | -325 | -355 | -923 | -1,775 | -4,615 | -9,587 | -23,075 | -47,935 | -124,631 | -239,675 | -623,155 | -680,677 | -3,115,775 | -3,403,385 | -8,848,801 | -17,016,925 | -44,244,005 | -221,220,025 |
Here are some more numbers to try:
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