A:
Positive:
1 x 3004134077 x 4291620129 x 10359083203 x 1479869439 x 6843133073 x 977593371 x 8911712731 x 23597
Negative:
-1 x -300413407-7 x -42916201-29 x -10359083-203 x -1479869-439 x -684313-3073 x -97759-3371 x -89117-12731 x -23597
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 300,413,407, 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 | 300,413,407 | |
| -1 | -300,413,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,413,407.
Example:
1 x 300,413,407 = 300,413,407
and
-1 x -300,413,407 = 300,413,407
Notice both answers equal 300,413,407
With that explanation out of the way, let's continue. Next, we take the number 300,413,407 and divide it by 2:
300,413,407 ÷ 2 = 150,206,703.5
If the quotient is a whole number, then 2 and 150,206,703.5 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 | 300,413,407 | |
| -1 | -300,413,407 |
Now, we try dividing 300,413,407 by 3:
300,413,407 ÷ 3 = 100,137,802.3333
If the quotient is a whole number, then 3 and 100,137,802.3333 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 | 300,413,407 | |
| -1 | -300,413,407 |
Let's try dividing by 4:
300,413,407 ÷ 4 = 75,103,351.75
If the quotient is a whole number, then 4 and 75,103,351.75 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 | 300,413,407 | |
| -1 | 300,413,407 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 439 | 3,073 | 3,371 | 12,731 | 23,597 | 89,117 | 97,759 | 684,313 | 1,479,869 | 10,359,083 | 42,916,201 | 300,413,407 |
| -1 | -7 | -29 | -203 | -439 | -3,073 | -3,371 | -12,731 | -23,597 | -89,117 | -97,759 | -684,313 | -1,479,869 | -10,359,083 | -42,916,201 | -300,413,407 |
Here are some more numbers to try:
Try the factor calculator