A:
Positive:
1 x 3442204017 x 4917434329 x 11869669179 x 1923019203 x 16956671253 x 2747175191 x 663119473 x 36337
Negative:
-1 x -344220401-7 x -49174343-29 x -11869669-179 x -1923019-203 x -1695667-1253 x -274717-5191 x -66311-9473 x -36337
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 344,220,401, 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 | 344,220,401 | |
| -1 | -344,220,401 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,220,401.
Example:
1 x 344,220,401 = 344,220,401
and
-1 x -344,220,401 = 344,220,401
Notice both answers equal 344,220,401
With that explanation out of the way, let's continue. Next, we take the number 344,220,401 and divide it by 2:
344,220,401 ÷ 2 = 172,110,200.5
If the quotient is a whole number, then 2 and 172,110,200.5 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 | 344,220,401 | |
| -1 | -344,220,401 |
Now, we try dividing 344,220,401 by 3:
344,220,401 ÷ 3 = 114,740,133.6667
If the quotient is a whole number, then 3 and 114,740,133.6667 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 | 344,220,401 | |
| -1 | -344,220,401 |
Let's try dividing by 4:
344,220,401 ÷ 4 = 86,055,100.25
If the quotient is a whole number, then 4 and 86,055,100.25 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 | 344,220,401 | |
| -1 | 344,220,401 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 179 | 203 | 1,253 | 5,191 | 9,473 | 36,337 | 66,311 | 274,717 | 1,695,667 | 1,923,019 | 11,869,669 | 49,174,343 | 344,220,401 |
| -1 | -7 | -29 | -179 | -203 | -1,253 | -5,191 | -9,473 | -36,337 | -66,311 | -274,717 | -1,695,667 | -1,923,019 | -11,869,669 | -49,174,343 | -344,220,401 |
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