A:
Positive:
1 x 3014013655 x 6028027347 x 6412795235 x 1282559419 x 7193352095 x 1438673061 x 9846515305 x 19693
Negative:
-1 x -301401365-5 x -60280273-47 x -6412795-235 x -1282559-419 x -719335-2095 x -143867-3061 x -98465-15305 x -19693
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 301,401,365, 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 | 301,401,365 | |
| -1 | -301,401,365 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,401,365.
Example:
1 x 301,401,365 = 301,401,365
and
-1 x -301,401,365 = 301,401,365
Notice both answers equal 301,401,365
With that explanation out of the way, let's continue. Next, we take the number 301,401,365 and divide it by 2:
301,401,365 ÷ 2 = 150,700,682.5
If the quotient is a whole number, then 2 and 150,700,682.5 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 | 301,401,365 | |
| -1 | -301,401,365 |
Now, we try dividing 301,401,365 by 3:
301,401,365 ÷ 3 = 100,467,121.6667
If the quotient is a whole number, then 3 and 100,467,121.6667 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 | 301,401,365 | |
| -1 | -301,401,365 |
Let's try dividing by 4:
301,401,365 ÷ 4 = 75,350,341.25
If the quotient is a whole number, then 4 and 75,350,341.25 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 | 301,401,365 | |
| -1 | 301,401,365 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 235 | 419 | 2,095 | 3,061 | 15,305 | 19,693 | 98,465 | 143,867 | 719,335 | 1,282,559 | 6,412,795 | 60,280,273 | 301,401,365 |
| -1 | -5 | -47 | -235 | -419 | -2,095 | -3,061 | -15,305 | -19,693 | -98,465 | -143,867 | -719,335 | -1,282,559 | -6,412,795 | -60,280,273 | -301,401,365 |
Here are some more numbers to try:
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