A:
Positive:
1 x 34443210113 x 2649477729 x 11876969173 x 1990937377 x 9136132249 x 1531495017 x 686535281 x 65221
Negative:
-1 x -344432101-13 x -26494777-29 x -11876969-173 x -1990937-377 x -913613-2249 x -153149-5017 x -68653-5281 x -65221
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 344,432,101, 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 | 344,432,101 | |
| -1 | -344,432,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,432,101.
Example:
1 x 344,432,101 = 344,432,101
and
-1 x -344,432,101 = 344,432,101
Notice both answers equal 344,432,101
With that explanation out of the way, let's continue. Next, we take the number 344,432,101 and divide it by 2:
344,432,101 ÷ 2 = 172,216,050.5
If the quotient is a whole number, then 2 and 172,216,050.5 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 | 344,432,101 | |
| -1 | -344,432,101 |
Now, we try dividing 344,432,101 by 3:
344,432,101 ÷ 3 = 114,810,700.3333
If the quotient is a whole number, then 3 and 114,810,700.3333 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 | 344,432,101 | |
| -1 | -344,432,101 |
Let's try dividing by 4:
344,432,101 ÷ 4 = 86,108,025.25
If the quotient is a whole number, then 4 and 86,108,025.25 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 | 344,432,101 | |
| -1 | 344,432,101 |
If you did it right, you will end up with this table:
| 1 | 13 | 29 | 173 | 377 | 2,249 | 5,017 | 5,281 | 65,221 | 68,653 | 153,149 | 913,613 | 1,990,937 | 11,876,969 | 26,494,777 | 344,432,101 |
| -1 | -13 | -29 | -173 | -377 | -2,249 | -5,017 | -5,281 | -65,221 | -68,653 | -153,149 | -913,613 | -1,990,937 | -11,876,969 | -26,494,777 | -344,432,101 |
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