A:
Positive:
1 x 301052577 x 430075113 x 231578949 x 61439391 x 330827167 x 180271283 x 106379637 x 472611169 x 257531981 x 151972171 x 138673679 x 8183
Negative:
-1 x -30105257-7 x -4300751-13 x -2315789-49 x -614393-91 x -330827-167 x -180271-283 x -106379-637 x -47261-1169 x -25753-1981 x -15197-2171 x -13867-3679 x -8183
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 30,105,257, 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 | 30,105,257 | |
| -1 | -30,105,257 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,105,257.
Example:
1 x 30,105,257 = 30,105,257
and
-1 x -30,105,257 = 30,105,257
Notice both answers equal 30,105,257
With that explanation out of the way, let's continue. Next, we take the number 30,105,257 and divide it by 2:
30,105,257 ÷ 2 = 15,052,628.5
If the quotient is a whole number, then 2 and 15,052,628.5 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 | 30,105,257 | |
| -1 | -30,105,257 |
Now, we try dividing 30,105,257 by 3:
30,105,257 ÷ 3 = 10,035,085.6667
If the quotient is a whole number, then 3 and 10,035,085.6667 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 | 30,105,257 | |
| -1 | -30,105,257 |
Let's try dividing by 4:
30,105,257 ÷ 4 = 7,526,314.25
If the quotient is a whole number, then 4 and 7,526,314.25 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 | 30,105,257 | |
| -1 | 30,105,257 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 49 | 91 | 167 | 283 | 637 | 1,169 | 1,981 | 2,171 | 3,679 | 8,183 | 13,867 | 15,197 | 25,753 | 47,261 | 106,379 | 180,271 | 330,827 | 614,393 | 2,315,789 | 4,300,751 | 30,105,257 |
| -1 | -7 | -13 | -49 | -91 | -167 | -283 | -637 | -1,169 | -1,981 | -2,171 | -3,679 | -8,183 | -13,867 | -15,197 | -25,753 | -47,261 | -106,379 | -180,271 | -330,827 | -614,393 | -2,315,789 | -4,300,751 | -30,105,257 |
Here are some more numbers to try:
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