A:
Positive:
1 x 2940472017 x 4200674343 x 6838307301 x 976901823 x 3572871187 x 2477235761 x 510418309 x 35389
Negative:
-1 x -294047201-7 x -42006743-43 x -6838307-301 x -976901-823 x -357287-1187 x -247723-5761 x -51041-8309 x -35389
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 294,047,201, 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 | 294,047,201 | |
| -1 | -294,047,201 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 294,047,201.
Example:
1 x 294,047,201 = 294,047,201
and
-1 x -294,047,201 = 294,047,201
Notice both answers equal 294,047,201
With that explanation out of the way, let's continue. Next, we take the number 294,047,201 and divide it by 2:
294,047,201 ÷ 2 = 147,023,600.5
If the quotient is a whole number, then 2 and 147,023,600.5 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 | 294,047,201 | |
| -1 | -294,047,201 |
Now, we try dividing 294,047,201 by 3:
294,047,201 ÷ 3 = 98,015,733.6667
If the quotient is a whole number, then 3 and 98,015,733.6667 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 | 294,047,201 | |
| -1 | -294,047,201 |
Let's try dividing by 4:
294,047,201 ÷ 4 = 73,511,800.25
If the quotient is a whole number, then 4 and 73,511,800.25 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 | 294,047,201 | |
| -1 | 294,047,201 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 301 | 823 | 1,187 | 5,761 | 8,309 | 35,389 | 51,041 | 247,723 | 357,287 | 976,901 | 6,838,307 | 42,006,743 | 294,047,201 |
| -1 | -7 | -43 | -301 | -823 | -1,187 | -5,761 | -8,309 | -35,389 | -51,041 | -247,723 | -357,287 | -976,901 | -6,838,307 | -42,006,743 | -294,047,201 |
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