A:
Positive:
1 x 451000255 x 902000525 x 180400147 x 959575131 x 344275235 x 191915293 x 153925655 x 688551175 x 383831465 x 307853275 x 137716157 x 7325
Negative:
-1 x -45100025-5 x -9020005-25 x -1804001-47 x -959575-131 x -344275-235 x -191915-293 x -153925-655 x -68855-1175 x -38383-1465 x -30785-3275 x -13771-6157 x -7325
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 45,100,025, 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 | 45,100,025 | |
| -1 | -45,100,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 45,100,025.
Example:
1 x 45,100,025 = 45,100,025
and
-1 x -45,100,025 = 45,100,025
Notice both answers equal 45,100,025
With that explanation out of the way, let's continue. Next, we take the number 45,100,025 and divide it by 2:
45,100,025 ÷ 2 = 22,550,012.5
If the quotient is a whole number, then 2 and 22,550,012.5 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 | 45,100,025 | |
| -1 | -45,100,025 |
Now, we try dividing 45,100,025 by 3:
45,100,025 ÷ 3 = 15,033,341.6667
If the quotient is a whole number, then 3 and 15,033,341.6667 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 | 45,100,025 | |
| -1 | -45,100,025 |
Let's try dividing by 4:
45,100,025 ÷ 4 = 11,275,006.25
If the quotient is a whole number, then 4 and 11,275,006.25 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 | 45,100,025 | |
| -1 | 45,100,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 47 | 131 | 235 | 293 | 655 | 1,175 | 1,465 | 3,275 | 6,157 | 7,325 | 13,771 | 30,785 | 38,383 | 68,855 | 153,925 | 191,915 | 344,275 | 959,575 | 1,804,001 | 9,020,005 | 45,100,025 |
| -1 | -5 | -25 | -47 | -131 | -235 | -293 | -655 | -1,175 | -1,465 | -3,275 | -6,157 | -7,325 | -13,771 | -30,785 | -38,383 | -68,855 | -153,925 | -191,915 | -344,275 | -959,575 | -1,804,001 | -9,020,005 | -45,100,025 |
Here are some more numbers to try:
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