A:
Positive:
1 x 374416255 x 748832513 x 288012525 x 149766565 x 576025125 x 299533325 x 1152051625 x 23041
Negative:
-1 x -37441625-5 x -7488325-13 x -2880125-25 x -1497665-65 x -576025-125 x -299533-325 x -115205-1625 x -23041
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 37,441,625, 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 | 37,441,625 | |
| -1 | -37,441,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,441,625.
Example:
1 x 37,441,625 = 37,441,625
and
-1 x -37,441,625 = 37,441,625
Notice both answers equal 37,441,625
With that explanation out of the way, let's continue. Next, we take the number 37,441,625 and divide it by 2:
37,441,625 ÷ 2 = 18,720,812.5
If the quotient is a whole number, then 2 and 18,720,812.5 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 | 37,441,625 | |
| -1 | -37,441,625 |
Now, we try dividing 37,441,625 by 3:
37,441,625 ÷ 3 = 12,480,541.6667
If the quotient is a whole number, then 3 and 12,480,541.6667 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 | 37,441,625 | |
| -1 | -37,441,625 |
Let's try dividing by 4:
37,441,625 ÷ 4 = 9,360,406.25
If the quotient is a whole number, then 4 and 9,360,406.25 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 | 37,441,625 | |
| -1 | 37,441,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 125 | 325 | 1,625 | 23,041 | 115,205 | 299,533 | 576,025 | 1,497,665 | 2,880,125 | 7,488,325 | 37,441,625 |
| -1 | -5 | -13 | -25 | -65 | -125 | -325 | -1,625 | -23,041 | -115,205 | -299,533 | -576,025 | -1,497,665 | -2,880,125 | -7,488,325 | -37,441,625 |
Here are some more numbers to try:
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