A:
Positive:
1 x 365730255 x 731460525 x 146292131 x 117977541 x 892025155 x 235955205 x 178405775 x 471911025 x 356811151 x 317751271 x 287755755 x 6355
Negative:
-1 x -36573025-5 x -7314605-25 x -1462921-31 x -1179775-41 x -892025-155 x -235955-205 x -178405-775 x -47191-1025 x -35681-1151 x -31775-1271 x -28775-5755 x -6355
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 36,573,025, 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 | 36,573,025 | |
| -1 | -36,573,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,573,025.
Example:
1 x 36,573,025 = 36,573,025
and
-1 x -36,573,025 = 36,573,025
Notice both answers equal 36,573,025
With that explanation out of the way, let's continue. Next, we take the number 36,573,025 and divide it by 2:
36,573,025 ÷ 2 = 18,286,512.5
If the quotient is a whole number, then 2 and 18,286,512.5 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 | 36,573,025 | |
| -1 | -36,573,025 |
Now, we try dividing 36,573,025 by 3:
36,573,025 ÷ 3 = 12,191,008.3333
If the quotient is a whole number, then 3 and 12,191,008.3333 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 | 36,573,025 | |
| -1 | -36,573,025 |
Let's try dividing by 4:
36,573,025 ÷ 4 = 9,143,256.25
If the quotient is a whole number, then 4 and 9,143,256.25 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 | 36,573,025 | |
| -1 | 36,573,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 31 | 41 | 155 | 205 | 775 | 1,025 | 1,151 | 1,271 | 5,755 | 6,355 | 28,775 | 31,775 | 35,681 | 47,191 | 178,405 | 235,955 | 892,025 | 1,179,775 | 1,462,921 | 7,314,605 | 36,573,025 |
| -1 | -5 | -25 | -31 | -41 | -155 | -205 | -775 | -1,025 | -1,151 | -1,271 | -5,755 | -6,355 | -28,775 | -31,775 | -35,681 | -47,191 | -178,405 | -235,955 | -892,025 | -1,179,775 | -1,462,921 | -7,314,605 | -36,573,025 |
Here are some more numbers to try:
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