A:
Positive:
1 x 355132555 x 710265117 x 208901529 x 122459585 x 417803145 x 244919493 x 720352465 x 14407
Negative:
-1 x -35513255-5 x -7102651-17 x -2089015-29 x -1224595-85 x -417803-145 x -244919-493 x -72035-2465 x -14407
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 35,513,255, 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 | 35,513,255 | |
| -1 | -35,513,255 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,513,255.
Example:
1 x 35,513,255 = 35,513,255
and
-1 x -35,513,255 = 35,513,255
Notice both answers equal 35,513,255
With that explanation out of the way, let's continue. Next, we take the number 35,513,255 and divide it by 2:
35,513,255 ÷ 2 = 17,756,627.5
If the quotient is a whole number, then 2 and 17,756,627.5 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 | 35,513,255 | |
| -1 | -35,513,255 |
Now, we try dividing 35,513,255 by 3:
35,513,255 ÷ 3 = 11,837,751.6667
If the quotient is a whole number, then 3 and 11,837,751.6667 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 | 35,513,255 | |
| -1 | -35,513,255 |
Let's try dividing by 4:
35,513,255 ÷ 4 = 8,878,313.75
If the quotient is a whole number, then 4 and 8,878,313.75 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 | 35,513,255 | |
| -1 | 35,513,255 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 29 | 85 | 145 | 493 | 2,465 | 14,407 | 72,035 | 244,919 | 417,803 | 1,224,595 | 2,089,015 | 7,102,651 | 35,513,255 |
| -1 | -5 | -17 | -29 | -85 | -145 | -493 | -2,465 | -14,407 | -72,035 | -244,919 | -417,803 | -1,224,595 | -2,089,015 | -7,102,651 | -35,513,255 |
Here are some more numbers to try:
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