A:
Positive:
1 x 341005255 x 682010525 x 136402159 x 57797561 x 559025295 x 115595305 x 111805379 x 899751475 x 231191525 x 223611895 x 179953599 x 9475
Negative:
-1 x -34100525-5 x -6820105-25 x -1364021-59 x -577975-61 x -559025-295 x -115595-305 x -111805-379 x -89975-1475 x -23119-1525 x -22361-1895 x -17995-3599 x -9475
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 34,100,525, 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 | 34,100,525 | |
| -1 | -34,100,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,100,525.
Example:
1 x 34,100,525 = 34,100,525
and
-1 x -34,100,525 = 34,100,525
Notice both answers equal 34,100,525
With that explanation out of the way, let's continue. Next, we take the number 34,100,525 and divide it by 2:
34,100,525 ÷ 2 = 17,050,262.5
If the quotient is a whole number, then 2 and 17,050,262.5 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 | 34,100,525 | |
| -1 | -34,100,525 |
Now, we try dividing 34,100,525 by 3:
34,100,525 ÷ 3 = 11,366,841.6667
If the quotient is a whole number, then 3 and 11,366,841.6667 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 | 34,100,525 | |
| -1 | -34,100,525 |
Let's try dividing by 4:
34,100,525 ÷ 4 = 8,525,131.25
If the quotient is a whole number, then 4 and 8,525,131.25 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 | 34,100,525 | |
| -1 | 34,100,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 59 | 61 | 295 | 305 | 379 | 1,475 | 1,525 | 1,895 | 3,599 | 9,475 | 17,995 | 22,361 | 23,119 | 89,975 | 111,805 | 115,595 | 559,025 | 577,975 | 1,364,021 | 6,820,105 | 34,100,525 |
| -1 | -5 | -25 | -59 | -61 | -295 | -305 | -379 | -1,475 | -1,525 | -1,895 | -3,599 | -9,475 | -17,995 | -22,361 | -23,119 | -89,975 | -111,805 | -115,595 | -559,025 | -577,975 | -1,364,021 | -6,820,105 | -34,100,525 |
Here are some more numbers to try:
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