A:
Positive:
1 x 1031303217 x 1473290323 x 448392761 x 1690661161 x 640561427 x 2415231403 x 735079821 x 10501
Negative:
-1 x -103130321-7 x -14732903-23 x -4483927-61 x -1690661-161 x -640561-427 x -241523-1403 x -73507-9821 x -10501
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 103,130,321, 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 | 103,130,321 | |
| -1 | -103,130,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 103,130,321.
Example:
1 x 103,130,321 = 103,130,321
and
-1 x -103,130,321 = 103,130,321
Notice both answers equal 103,130,321
With that explanation out of the way, let's continue. Next, we take the number 103,130,321 and divide it by 2:
103,130,321 ÷ 2 = 51,565,160.5
If the quotient is a whole number, then 2 and 51,565,160.5 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 | 103,130,321 | |
| -1 | -103,130,321 |
Now, we try dividing 103,130,321 by 3:
103,130,321 ÷ 3 = 34,376,773.6667
If the quotient is a whole number, then 3 and 34,376,773.6667 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 | 103,130,321 | |
| -1 | -103,130,321 |
Let's try dividing by 4:
103,130,321 ÷ 4 = 25,782,580.25
If the quotient is a whole number, then 4 and 25,782,580.25 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 | 103,130,321 | |
| -1 | 103,130,321 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 61 | 161 | 427 | 1,403 | 9,821 | 10,501 | 73,507 | 241,523 | 640,561 | 1,690,661 | 4,483,927 | 14,732,903 | 103,130,321 |
| -1 | -7 | -23 | -61 | -161 | -427 | -1,403 | -9,821 | -10,501 | -73,507 | -241,523 | -640,561 | -1,690,661 | -4,483,927 | -14,732,903 | -103,130,321 |
Here are some more numbers to try:
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