A:
Positive:
1 x 1460266255 x 2920532525 x 584106541 x 3561625125 x 1168213205 x 7123251025 x 1424655125 x 28493
Negative:
-1 x -146026625-5 x -29205325-25 x -5841065-41 x -3561625-125 x -1168213-205 x -712325-1025 x -142465-5125 x -28493
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 146,026,625, 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 | 146,026,625 | |
| -1 | -146,026,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 146,026,625.
Example:
1 x 146,026,625 = 146,026,625
and
-1 x -146,026,625 = 146,026,625
Notice both answers equal 146,026,625
With that explanation out of the way, let's continue. Next, we take the number 146,026,625 and divide it by 2:
146,026,625 ÷ 2 = 73,013,312.5
If the quotient is a whole number, then 2 and 73,013,312.5 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 | 146,026,625 | |
| -1 | -146,026,625 |
Now, we try dividing 146,026,625 by 3:
146,026,625 ÷ 3 = 48,675,541.6667
If the quotient is a whole number, then 3 and 48,675,541.6667 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 | 146,026,625 | |
| -1 | -146,026,625 |
Let's try dividing by 4:
146,026,625 ÷ 4 = 36,506,656.25
If the quotient is a whole number, then 4 and 36,506,656.25 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 | 146,026,625 | |
| -1 | 146,026,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 41 | 125 | 205 | 1,025 | 5,125 | 28,493 | 142,465 | 712,325 | 1,168,213 | 3,561,625 | 5,841,065 | 29,205,325 | 146,026,625 |
| -1 | -5 | -25 | -41 | -125 | -205 | -1,025 | -5,125 | -28,493 | -142,465 | -712,325 | -1,168,213 | -3,561,625 | -5,841,065 | -29,205,325 | -146,026,625 |
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