A:
Positive:
1 x 2214203117 x 31631473109 x 2031379521 x 424991557 x 397523763 x 2901973647 x 607133899 x 56789
Negative:
-1 x -221420311-7 x -31631473-109 x -2031379-521 x -424991-557 x -397523-763 x -290197-3647 x -60713-3899 x -56789
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 221,420,311, 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 | 221,420,311 | |
| -1 | -221,420,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,420,311.
Example:
1 x 221,420,311 = 221,420,311
and
-1 x -221,420,311 = 221,420,311
Notice both answers equal 221,420,311
With that explanation out of the way, let's continue. Next, we take the number 221,420,311 and divide it by 2:
221,420,311 ÷ 2 = 110,710,155.5
If the quotient is a whole number, then 2 and 110,710,155.5 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 | 221,420,311 | |
| -1 | -221,420,311 |
Now, we try dividing 221,420,311 by 3:
221,420,311 ÷ 3 = 73,806,770.3333
If the quotient is a whole number, then 3 and 73,806,770.3333 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 | 221,420,311 | |
| -1 | -221,420,311 |
Let's try dividing by 4:
221,420,311 ÷ 4 = 55,355,077.75
If the quotient is a whole number, then 4 and 55,355,077.75 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 | 221,420,311 | |
| -1 | 221,420,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 109 | 521 | 557 | 763 | 3,647 | 3,899 | 56,789 | 60,713 | 290,197 | 397,523 | 424,991 | 2,031,379 | 31,631,473 | 221,420,311 |
| -1 | -7 | -109 | -521 | -557 | -763 | -3,647 | -3,899 | -56,789 | -60,713 | -290,197 | -397,523 | -424,991 | -2,031,379 | -31,631,473 | -221,420,311 |
Here are some more numbers to try:
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