A:
Positive:
1 x 178290255 x 356580523 x 77517525 x 713161101 x 176525115 x 155035307 x 58075505 x 35305575 x 310071535 x 116152323 x 76752525 x 7061
Negative:
-1 x -17829025-5 x -3565805-23 x -775175-25 x -713161-101 x -176525-115 x -155035-307 x -58075-505 x -35305-575 x -31007-1535 x -11615-2323 x -7675-2525 x -7061
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 17,829,025, 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 | 17,829,025 | |
| -1 | -17,829,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,829,025.
Example:
1 x 17,829,025 = 17,829,025
and
-1 x -17,829,025 = 17,829,025
Notice both answers equal 17,829,025
With that explanation out of the way, let's continue. Next, we take the number 17,829,025 and divide it by 2:
17,829,025 ÷ 2 = 8,914,512.5
If the quotient is a whole number, then 2 and 8,914,512.5 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 | 17,829,025 | |
| -1 | -17,829,025 |
Now, we try dividing 17,829,025 by 3:
17,829,025 ÷ 3 = 5,943,008.3333
If the quotient is a whole number, then 3 and 5,943,008.3333 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 | 17,829,025 | |
| -1 | -17,829,025 |
Let's try dividing by 4:
17,829,025 ÷ 4 = 4,457,256.25
If the quotient is a whole number, then 4 and 4,457,256.25 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 | 17,829,025 | |
| -1 | 17,829,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 101 | 115 | 307 | 505 | 575 | 1,535 | 2,323 | 2,525 | 7,061 | 7,675 | 11,615 | 31,007 | 35,305 | 58,075 | 155,035 | 176,525 | 713,161 | 775,175 | 3,565,805 | 17,829,025 |
| -1 | -5 | -23 | -25 | -101 | -115 | -307 | -505 | -575 | -1,535 | -2,323 | -2,525 | -7,061 | -7,675 | -11,615 | -31,007 | -35,305 | -58,075 | -155,035 | -176,525 | -713,161 | -775,175 | -3,565,805 | -17,829,025 |
Here are some more numbers to try:
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