A:
Positive:
1 x 1010264155 x 202052837 x 1443234535 x 28864691481 x 682151949 x 518357405 x 136439745 x 10367
Negative:
-1 x -101026415-5 x -20205283-7 x -14432345-35 x -2886469-1481 x -68215-1949 x -51835-7405 x -13643-9745 x -10367
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 101,026,415, 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 | 101,026,415 | |
| -1 | -101,026,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,026,415.
Example:
1 x 101,026,415 = 101,026,415
and
-1 x -101,026,415 = 101,026,415
Notice both answers equal 101,026,415
With that explanation out of the way, let's continue. Next, we take the number 101,026,415 and divide it by 2:
101,026,415 ÷ 2 = 50,513,207.5
If the quotient is a whole number, then 2 and 50,513,207.5 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 | 101,026,415 | |
| -1 | -101,026,415 |
Now, we try dividing 101,026,415 by 3:
101,026,415 ÷ 3 = 33,675,471.6667
If the quotient is a whole number, then 3 and 33,675,471.6667 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 | 101,026,415 | |
| -1 | -101,026,415 |
Let's try dividing by 4:
101,026,415 ÷ 4 = 25,256,603.75
If the quotient is a whole number, then 4 and 25,256,603.75 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 | 101,026,415 | |
| -1 | 101,026,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 1,481 | 1,949 | 7,405 | 9,745 | 10,367 | 13,643 | 51,835 | 68,215 | 2,886,469 | 14,432,345 | 20,205,283 | 101,026,415 |
| -1 | -5 | -7 | -35 | -1,481 | -1,949 | -7,405 | -9,745 | -10,367 | -13,643 | -51,835 | -68,215 | -2,886,469 | -14,432,345 | -20,205,283 | -101,026,415 |
Here are some more numbers to try:
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