A:
Positive:
1 x 3442130055 x 6884260153 x 6494585265 x 1298917307 x 11212151535 x 2242434231 x 8135516271 x 21155
Negative:
-1 x -344213005-5 x -68842601-53 x -6494585-265 x -1298917-307 x -1121215-1535 x -224243-4231 x -81355-16271 x -21155
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 344,213,005, 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 | 344,213,005 | |
| -1 | -344,213,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,213,005.
Example:
1 x 344,213,005 = 344,213,005
and
-1 x -344,213,005 = 344,213,005
Notice both answers equal 344,213,005
With that explanation out of the way, let's continue. Next, we take the number 344,213,005 and divide it by 2:
344,213,005 ÷ 2 = 172,106,502.5
If the quotient is a whole number, then 2 and 172,106,502.5 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 | 344,213,005 | |
| -1 | -344,213,005 |
Now, we try dividing 344,213,005 by 3:
344,213,005 ÷ 3 = 114,737,668.3333
If the quotient is a whole number, then 3 and 114,737,668.3333 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 | 344,213,005 | |
| -1 | -344,213,005 |
Let's try dividing by 4:
344,213,005 ÷ 4 = 86,053,251.25
If the quotient is a whole number, then 4 and 86,053,251.25 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 | 344,213,005 | |
| -1 | 344,213,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 53 | 265 | 307 | 1,535 | 4,231 | 16,271 | 21,155 | 81,355 | 224,243 | 1,121,215 | 1,298,917 | 6,494,585 | 68,842,601 | 344,213,005 |
| -1 | -5 | -53 | -265 | -307 | -1,535 | -4,231 | -16,271 | -21,155 | -81,355 | -224,243 | -1,121,215 | -1,298,917 | -6,494,585 | -68,842,601 | -344,213,005 |
Here are some more numbers to try:
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