A:
Positive:
1 x 355215497 x 507450729 x 1224881203 x 174983233 x 152453751 x 472991631 x 217795257 x 6757
Negative:
-1 x -35521549-7 x -5074507-29 x -1224881-203 x -174983-233 x -152453-751 x -47299-1631 x -21779-5257 x -6757
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 35,521,549, 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 | 35,521,549 | |
| -1 | -35,521,549 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,521,549.
Example:
1 x 35,521,549 = 35,521,549
and
-1 x -35,521,549 = 35,521,549
Notice both answers equal 35,521,549
With that explanation out of the way, let's continue. Next, we take the number 35,521,549 and divide it by 2:
35,521,549 ÷ 2 = 17,760,774.5
If the quotient is a whole number, then 2 and 17,760,774.5 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 | 35,521,549 | |
| -1 | -35,521,549 |
Now, we try dividing 35,521,549 by 3:
35,521,549 ÷ 3 = 11,840,516.3333
If the quotient is a whole number, then 3 and 11,840,516.3333 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 | 35,521,549 | |
| -1 | -35,521,549 |
Let's try dividing by 4:
35,521,549 ÷ 4 = 8,880,387.25
If the quotient is a whole number, then 4 and 8,880,387.25 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 | 35,521,549 | |
| -1 | 35,521,549 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 233 | 751 | 1,631 | 5,257 | 6,757 | 21,779 | 47,299 | 152,453 | 174,983 | 1,224,881 | 5,074,507 | 35,521,549 |
| -1 | -7 | -29 | -203 | -233 | -751 | -1,631 | -5,257 | -6,757 | -21,779 | -47,299 | -152,453 | -174,983 | -1,224,881 | -5,074,507 | -35,521,549 |
Here are some more numbers to try:
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