A:
Positive:
1 x 3012572297 x 4303674713 x 2317363391 x 3310519419 x 7189912933 x 1027135447 x 553077901 x 38129
Negative:
-1 x -301257229-7 x -43036747-13 x -23173633-91 x -3310519-419 x -718991-2933 x -102713-5447 x -55307-7901 x -38129
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 301,257,229, 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 | 301,257,229 | |
| -1 | -301,257,229 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,257,229.
Example:
1 x 301,257,229 = 301,257,229
and
-1 x -301,257,229 = 301,257,229
Notice both answers equal 301,257,229
With that explanation out of the way, let's continue. Next, we take the number 301,257,229 and divide it by 2:
301,257,229 ÷ 2 = 150,628,614.5
If the quotient is a whole number, then 2 and 150,628,614.5 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 | 301,257,229 | |
| -1 | -301,257,229 |
Now, we try dividing 301,257,229 by 3:
301,257,229 ÷ 3 = 100,419,076.3333
If the quotient is a whole number, then 3 and 100,419,076.3333 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 | 301,257,229 | |
| -1 | -301,257,229 |
Let's try dividing by 4:
301,257,229 ÷ 4 = 75,314,307.25
If the quotient is a whole number, then 4 and 75,314,307.25 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 | 301,257,229 | |
| -1 | 301,257,229 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 419 | 2,933 | 5,447 | 7,901 | 38,129 | 55,307 | 102,713 | 718,991 | 3,310,519 | 23,173,633 | 43,036,747 | 301,257,229 |
| -1 | -7 | -13 | -91 | -419 | -2,933 | -5,447 | -7,901 | -38,129 | -55,307 | -102,713 | -718,991 | -3,310,519 | -23,173,633 | -43,036,747 | -301,257,229 |
Here are some more numbers to try:
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