A:
Positive:
1 x 2894764155 x 5789528361 x 4745515305 x 949103491 x 5895651933 x 1497552455 x 1179139665 x 29951
Negative:
-1 x -289476415-5 x -57895283-61 x -4745515-305 x -949103-491 x -589565-1933 x -149755-2455 x -117913-9665 x -29951
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 289,476,415, 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 | 289,476,415 | |
| -1 | -289,476,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 289,476,415.
Example:
1 x 289,476,415 = 289,476,415
and
-1 x -289,476,415 = 289,476,415
Notice both answers equal 289,476,415
With that explanation out of the way, let's continue. Next, we take the number 289,476,415 and divide it by 2:
289,476,415 ÷ 2 = 144,738,207.5
If the quotient is a whole number, then 2 and 144,738,207.5 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 | 289,476,415 | |
| -1 | -289,476,415 |
Now, we try dividing 289,476,415 by 3:
289,476,415 ÷ 3 = 96,492,138.3333
If the quotient is a whole number, then 3 and 96,492,138.3333 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 | 289,476,415 | |
| -1 | -289,476,415 |
Let's try dividing by 4:
289,476,415 ÷ 4 = 72,369,103.75
If the quotient is a whole number, then 4 and 72,369,103.75 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 | 289,476,415 | |
| -1 | 289,476,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 61 | 305 | 491 | 1,933 | 2,455 | 9,665 | 29,951 | 117,913 | 149,755 | 589,565 | 949,103 | 4,745,515 | 57,895,283 | 289,476,415 |
| -1 | -5 | -61 | -305 | -491 | -1,933 | -2,455 | -9,665 | -29,951 | -117,913 | -149,755 | -589,565 | -949,103 | -4,745,515 | -57,895,283 | -289,476,415 |
Here are some more numbers to try:
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