A:
Positive:
1 x 34331440119 x 1806917973 x 4702937127 x 27032631387 x 2475231949 x 1761492413 x 1422779271 x 37031
Negative:
-1 x -343314401-19 x -18069179-73 x -4702937-127 x -2703263-1387 x -247523-1949 x -176149-2413 x -142277-9271 x -37031
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 343,314,401, 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 | 343,314,401 | |
| -1 | -343,314,401 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 343,314,401.
Example:
1 x 343,314,401 = 343,314,401
and
-1 x -343,314,401 = 343,314,401
Notice both answers equal 343,314,401
With that explanation out of the way, let's continue. Next, we take the number 343,314,401 and divide it by 2:
343,314,401 ÷ 2 = 171,657,200.5
If the quotient is a whole number, then 2 and 171,657,200.5 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 | 343,314,401 | |
| -1 | -343,314,401 |
Now, we try dividing 343,314,401 by 3:
343,314,401 ÷ 3 = 114,438,133.6667
If the quotient is a whole number, then 3 and 114,438,133.6667 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 | 343,314,401 | |
| -1 | -343,314,401 |
Let's try dividing by 4:
343,314,401 ÷ 4 = 85,828,600.25
If the quotient is a whole number, then 4 and 85,828,600.25 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 | 343,314,401 | |
| -1 | 343,314,401 |
If you did it right, you will end up with this table:
| 1 | 19 | 73 | 127 | 1,387 | 1,949 | 2,413 | 9,271 | 37,031 | 142,277 | 176,149 | 247,523 | 2,703,263 | 4,702,937 | 18,069,179 | 343,314,401 |
| -1 | -19 | -73 | -127 | -1,387 | -1,949 | -2,413 | -9,271 | -37,031 | -142,277 | -176,149 | -247,523 | -2,703,263 | -4,702,937 | -18,069,179 | -343,314,401 |
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