A:
Positive:
1 x 22113243113 x 1701018719 x 11638549211 x 1048021247 x 8952732743 x 806174009 x 551594243 x 52117
Negative:
-1 x -221132431-13 x -17010187-19 x -11638549-211 x -1048021-247 x -895273-2743 x -80617-4009 x -55159-4243 x -52117
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 221,132,431, 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 | 221,132,431 | |
| -1 | -221,132,431 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,132,431.
Example:
1 x 221,132,431 = 221,132,431
and
-1 x -221,132,431 = 221,132,431
Notice both answers equal 221,132,431
With that explanation out of the way, let's continue. Next, we take the number 221,132,431 and divide it by 2:
221,132,431 ÷ 2 = 110,566,215.5
If the quotient is a whole number, then 2 and 110,566,215.5 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 | 221,132,431 | |
| -1 | -221,132,431 |
Now, we try dividing 221,132,431 by 3:
221,132,431 ÷ 3 = 73,710,810.3333
If the quotient is a whole number, then 3 and 73,710,810.3333 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 | 221,132,431 | |
| -1 | -221,132,431 |
Let's try dividing by 4:
221,132,431 ÷ 4 = 55,283,107.75
If the quotient is a whole number, then 4 and 55,283,107.75 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 | 221,132,431 | |
| -1 | 221,132,431 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 211 | 247 | 2,743 | 4,009 | 4,243 | 52,117 | 55,159 | 80,617 | 895,273 | 1,048,021 | 11,638,549 | 17,010,187 | 221,132,431 |
| -1 | -13 | -19 | -211 | -247 | -2,743 | -4,009 | -4,243 | -52,117 | -55,159 | -80,617 | -895,273 | -1,048,021 | -11,638,549 | -17,010,187 | -221,132,431 |
Here are some more numbers to try:
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