A:
Positive:
1 x 4004163317 x 5720233337 x 10822063259 x 1546009317 x 12631432219 x 1804494877 x 8210311729 x 34139
Negative:
-1 x -400416331-7 x -57202333-37 x -10822063-259 x -1546009-317 x -1263143-2219 x -180449-4877 x -82103-11729 x -34139
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 400,416,331, 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 | 400,416,331 | |
| -1 | -400,416,331 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 400,416,331.
Example:
1 x 400,416,331 = 400,416,331
and
-1 x -400,416,331 = 400,416,331
Notice both answers equal 400,416,331
With that explanation out of the way, let's continue. Next, we take the number 400,416,331 and divide it by 2:
400,416,331 ÷ 2 = 200,208,165.5
If the quotient is a whole number, then 2 and 200,208,165.5 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 | 400,416,331 | |
| -1 | -400,416,331 |
Now, we try dividing 400,416,331 by 3:
400,416,331 ÷ 3 = 133,472,110.3333
If the quotient is a whole number, then 3 and 133,472,110.3333 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 | 400,416,331 | |
| -1 | -400,416,331 |
Let's try dividing by 4:
400,416,331 ÷ 4 = 100,104,082.75
If the quotient is a whole number, then 4 and 100,104,082.75 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 | 400,416,331 | |
| -1 | 400,416,331 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 259 | 317 | 2,219 | 4,877 | 11,729 | 34,139 | 82,103 | 180,449 | 1,263,143 | 1,546,009 | 10,822,063 | 57,202,333 | 400,416,331 |
| -1 | -7 | -37 | -259 | -317 | -2,219 | -4,877 | -11,729 | -34,139 | -82,103 | -180,449 | -1,263,143 | -1,546,009 | -10,822,063 | -57,202,333 | -400,416,331 |
Here are some more numbers to try:
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