A:
Positive:
1 x 355006197 x 507151711 x 322732953 x 66982377 x 461047371 x 95689583 x 608934081 x 8699
Negative:
-1 x -35500619-7 x -5071517-11 x -3227329-53 x -669823-77 x -461047-371 x -95689-583 x -60893-4081 x -8699
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 35,500,619, 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 | 35,500,619 | |
| -1 | -35,500,619 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,500,619.
Example:
1 x 35,500,619 = 35,500,619
and
-1 x -35,500,619 = 35,500,619
Notice both answers equal 35,500,619
With that explanation out of the way, let's continue. Next, we take the number 35,500,619 and divide it by 2:
35,500,619 ÷ 2 = 17,750,309.5
If the quotient is a whole number, then 2 and 17,750,309.5 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 | 35,500,619 | |
| -1 | -35,500,619 |
Now, we try dividing 35,500,619 by 3:
35,500,619 ÷ 3 = 11,833,539.6667
If the quotient is a whole number, then 3 and 11,833,539.6667 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 | 35,500,619 | |
| -1 | -35,500,619 |
Let's try dividing by 4:
35,500,619 ÷ 4 = 8,875,154.75
If the quotient is a whole number, then 4 and 8,875,154.75 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 | 35,500,619 | |
| -1 | 35,500,619 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 53 | 77 | 371 | 583 | 4,081 | 8,699 | 60,893 | 95,689 | 461,047 | 669,823 | 3,227,329 | 5,071,517 | 35,500,619 |
| -1 | -7 | -11 | -53 | -77 | -371 | -583 | -4,081 | -8,699 | -60,893 | -95,689 | -461,047 | -669,823 | -3,227,329 | -5,071,517 | -35,500,619 |
Here are some more numbers to try:
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