A:
Positive:
1 x 64737021713 x 4979770917 x 38080601169 x 3830593221 x 29292772197 x 2946612873 x 22532917333 x 37349
Negative:
-1 x -647370217-13 x -49797709-17 x -38080601-169 x -3830593-221 x -2929277-2197 x -294661-2873 x -225329-17333 x -37349
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 647,370,217, 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 | 647,370,217 | |
| -1 | -647,370,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 647,370,217.
Example:
1 x 647,370,217 = 647,370,217
and
-1 x -647,370,217 = 647,370,217
Notice both answers equal 647,370,217
With that explanation out of the way, let's continue. Next, we take the number 647,370,217 and divide it by 2:
647,370,217 ÷ 2 = 323,685,108.5
If the quotient is a whole number, then 2 and 323,685,108.5 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 | 647,370,217 | |
| -1 | -647,370,217 |
Now, we try dividing 647,370,217 by 3:
647,370,217 ÷ 3 = 215,790,072.3333
If the quotient is a whole number, then 3 and 215,790,072.3333 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 | 647,370,217 | |
| -1 | -647,370,217 |
Let's try dividing by 4:
647,370,217 ÷ 4 = 161,842,554.25
If the quotient is a whole number, then 4 and 161,842,554.25 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 | 647,370,217 | |
| -1 | 647,370,217 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 169 | 221 | 2,197 | 2,873 | 17,333 | 37,349 | 225,329 | 294,661 | 2,929,277 | 3,830,593 | 38,080,601 | 49,797,709 | 647,370,217 |
| -1 | -13 | -17 | -169 | -221 | -2,197 | -2,873 | -17,333 | -37,349 | -225,329 | -294,661 | -2,929,277 | -3,830,593 | -38,080,601 | -49,797,709 | -647,370,217 |
Here are some more numbers to try:
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