A:
Positive:
1 x 355191417 x 507416361 x 582281193 x 184037427 x 83183431 x 824111351 x 262913017 x 11773
Negative:
-1 x -35519141-7 x -5074163-61 x -582281-193 x -184037-427 x -83183-431 x -82411-1351 x -26291-3017 x -11773
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 35,519,141, 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 | 35,519,141 | |
| -1 | -35,519,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,519,141.
Example:
1 x 35,519,141 = 35,519,141
and
-1 x -35,519,141 = 35,519,141
Notice both answers equal 35,519,141
With that explanation out of the way, let's continue. Next, we take the number 35,519,141 and divide it by 2:
35,519,141 ÷ 2 = 17,759,570.5
If the quotient is a whole number, then 2 and 17,759,570.5 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 | 35,519,141 | |
| -1 | -35,519,141 |
Now, we try dividing 35,519,141 by 3:
35,519,141 ÷ 3 = 11,839,713.6667
If the quotient is a whole number, then 3 and 11,839,713.6667 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 | 35,519,141 | |
| -1 | -35,519,141 |
Let's try dividing by 4:
35,519,141 ÷ 4 = 8,879,785.25
If the quotient is a whole number, then 4 and 8,879,785.25 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 | 35,519,141 | |
| -1 | 35,519,141 |
If you did it right, you will end up with this table:
| 1 | 7 | 61 | 193 | 427 | 431 | 1,351 | 3,017 | 11,773 | 26,291 | 82,411 | 83,183 | 184,037 | 582,281 | 5,074,163 | 35,519,141 |
| -1 | -7 | -61 | -193 | -427 | -431 | -1,351 | -3,017 | -11,773 | -26,291 | -82,411 | -83,183 | -184,037 | -582,281 | -5,074,163 | -35,519,141 |
Here are some more numbers to try:
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