A:
Positive:
1 x 1001425255 x 200285057 x 1430607525 x 400570135 x 286121549 x 2043725175 x 572243245 x 4087451225 x 81749
Negative:
-1 x -100142525-5 x -20028505-7 x -14306075-25 x -4005701-35 x -2861215-49 x -2043725-175 x -572243-245 x -408745-1225 x -81749
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 100,142,525, 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 | 100,142,525 | |
| -1 | -100,142,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,142,525.
Example:
1 x 100,142,525 = 100,142,525
and
-1 x -100,142,525 = 100,142,525
Notice both answers equal 100,142,525
With that explanation out of the way, let's continue. Next, we take the number 100,142,525 and divide it by 2:
100,142,525 ÷ 2 = 50,071,262.5
If the quotient is a whole number, then 2 and 50,071,262.5 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 | 100,142,525 | |
| -1 | -100,142,525 |
Now, we try dividing 100,142,525 by 3:
100,142,525 ÷ 3 = 33,380,841.6667
If the quotient is a whole number, then 3 and 33,380,841.6667 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 | 100,142,525 | |
| -1 | -100,142,525 |
Let's try dividing by 4:
100,142,525 ÷ 4 = 25,035,631.25
If the quotient is a whole number, then 4 and 25,035,631.25 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 | 100,142,525 | |
| -1 | 100,142,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 175 | 245 | 1,225 | 81,749 | 408,745 | 572,243 | 2,043,725 | 2,861,215 | 4,005,701 | 14,306,075 | 20,028,505 | 100,142,525 |
| -1 | -5 | -7 | -25 | -35 | -49 | -175 | -245 | -1,225 | -81,749 | -408,745 | -572,243 | -2,043,725 | -2,861,215 | -4,005,701 | -14,306,075 | -20,028,505 | -100,142,525 |
Here are some more numbers to try:
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