A:
Positive:
1 x 1040022113 x 80001731 x 335491131 x 79391197 x 52793403 x 258071703 x 61072561 x 4061
Negative:
-1 x -10400221-13 x -800017-31 x -335491-131 x -79391-197 x -52793-403 x -25807-1703 x -6107-2561 x -4061
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 10,400,221, 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 | 10,400,221 | |
| -1 | -10,400,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,400,221.
Example:
1 x 10,400,221 = 10,400,221
and
-1 x -10,400,221 = 10,400,221
Notice both answers equal 10,400,221
With that explanation out of the way, let's continue. Next, we take the number 10,400,221 and divide it by 2:
10,400,221 ÷ 2 = 5,200,110.5
If the quotient is a whole number, then 2 and 5,200,110.5 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 | 10,400,221 | |
| -1 | -10,400,221 |
Now, we try dividing 10,400,221 by 3:
10,400,221 ÷ 3 = 3,466,740.3333
If the quotient is a whole number, then 3 and 3,466,740.3333 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 | 10,400,221 | |
| -1 | -10,400,221 |
Let's try dividing by 4:
10,400,221 ÷ 4 = 2,600,055.25
If the quotient is a whole number, then 4 and 2,600,055.25 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 | 10,400,221 | |
| -1 | 10,400,221 |
If you did it right, you will end up with this table:
| 1 | 13 | 31 | 131 | 197 | 403 | 1,703 | 2,561 | 4,061 | 6,107 | 25,807 | 52,793 | 79,391 | 335,491 | 800,017 | 10,400,221 |
| -1 | -13 | -31 | -131 | -197 | -403 | -1,703 | -2,561 | -4,061 | -6,107 | -25,807 | -52,793 | -79,391 | -335,491 | -800,017 | -10,400,221 |
Here are some more numbers to try:
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