A:
Positive:
1 x 1031021537 x 1472887911 x 937292371 x 145214377 x 1338989497 x 207449781 x 1320135467 x 18859
Negative:
-1 x -103102153-7 x -14728879-11 x -9372923-71 x -1452143-77 x -1338989-497 x -207449-781 x -132013-5467 x -18859
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 103,102,153, 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 | 103,102,153 | |
| -1 | -103,102,153 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 103,102,153.
Example:
1 x 103,102,153 = 103,102,153
and
-1 x -103,102,153 = 103,102,153
Notice both answers equal 103,102,153
With that explanation out of the way, let's continue. Next, we take the number 103,102,153 and divide it by 2:
103,102,153 ÷ 2 = 51,551,076.5
If the quotient is a whole number, then 2 and 51,551,076.5 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 | 103,102,153 | |
| -1 | -103,102,153 |
Now, we try dividing 103,102,153 by 3:
103,102,153 ÷ 3 = 34,367,384.3333
If the quotient is a whole number, then 3 and 34,367,384.3333 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 | 103,102,153 | |
| -1 | -103,102,153 |
Let's try dividing by 4:
103,102,153 ÷ 4 = 25,775,538.25
If the quotient is a whole number, then 4 and 25,775,538.25 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 | 103,102,153 | |
| -1 | 103,102,153 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 71 | 77 | 497 | 781 | 5,467 | 18,859 | 132,013 | 207,449 | 1,338,989 | 1,452,143 | 9,372,923 | 14,728,879 | 103,102,153 |
| -1 | -7 | -11 | -71 | -77 | -497 | -781 | -5,467 | -18,859 | -132,013 | -207,449 | -1,338,989 | -1,452,143 | -9,372,923 | -14,728,879 | -103,102,153 |
Here are some more numbers to try:
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