A:
Positive:
1 x 2214101055 x 442820217 x 3163001535 x 6326003409 x 5413452045 x 1082692863 x 7733514315 x 15467
Negative:
-1 x -221410105-5 x -44282021-7 x -31630015-35 x -6326003-409 x -541345-2045 x -108269-2863 x -77335-14315 x -15467
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 221,410,105, 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 | 221,410,105 | |
| -1 | -221,410,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,410,105.
Example:
1 x 221,410,105 = 221,410,105
and
-1 x -221,410,105 = 221,410,105
Notice both answers equal 221,410,105
With that explanation out of the way, let's continue. Next, we take the number 221,410,105 and divide it by 2:
221,410,105 ÷ 2 = 110,705,052.5
If the quotient is a whole number, then 2 and 110,705,052.5 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 | 221,410,105 | |
| -1 | -221,410,105 |
Now, we try dividing 221,410,105 by 3:
221,410,105 ÷ 3 = 73,803,368.3333
If the quotient is a whole number, then 3 and 73,803,368.3333 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 | 221,410,105 | |
| -1 | -221,410,105 |
Let's try dividing by 4:
221,410,105 ÷ 4 = 55,352,526.25
If the quotient is a whole number, then 4 and 55,352,526.25 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 | 221,410,105 | |
| -1 | 221,410,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 409 | 2,045 | 2,863 | 14,315 | 15,467 | 77,335 | 108,269 | 541,345 | 6,326,003 | 31,630,015 | 44,282,021 | 221,410,105 |
| -1 | -5 | -7 | -35 | -409 | -2,045 | -2,863 | -14,315 | -15,467 | -77,335 | -108,269 | -541,345 | -6,326,003 | -31,630,015 | -44,282,021 | -221,410,105 |
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