A:
Positive:
1 x 34020255 x 68040511 x 30927525 x 13608155 x 6185589 x 38225139 x 24475275 x 12371445 x 7645695 x 4895979 x 34751529 x 2225
Negative:
-1 x -3402025-5 x -680405-11 x -309275-25 x -136081-55 x -61855-89 x -38225-139 x -24475-275 x -12371-445 x -7645-695 x -4895-979 x -3475-1529 x -2225
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 3,402,025, 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 | 3,402,025 | |
| -1 | -3,402,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,402,025.
Example:
1 x 3,402,025 = 3,402,025
and
-1 x -3,402,025 = 3,402,025
Notice both answers equal 3,402,025
With that explanation out of the way, let's continue. Next, we take the number 3,402,025 and divide it by 2:
3,402,025 ÷ 2 = 1,701,012.5
If the quotient is a whole number, then 2 and 1,701,012.5 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 | 3,402,025 | |
| -1 | -3,402,025 |
Now, we try dividing 3,402,025 by 3:
3,402,025 ÷ 3 = 1,134,008.3333
If the quotient is a whole number, then 3 and 1,134,008.3333 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 | 3,402,025 | |
| -1 | -3,402,025 |
Let's try dividing by 4:
3,402,025 ÷ 4 = 850,506.25
If the quotient is a whole number, then 4 and 850,506.25 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 | 3,402,025 | |
| -1 | 3,402,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 89 | 139 | 275 | 445 | 695 | 979 | 1,529 | 2,225 | 3,475 | 4,895 | 7,645 | 12,371 | 24,475 | 38,225 | 61,855 | 136,081 | 309,275 | 680,405 | 3,402,025 |
| -1 | -5 | -11 | -25 | -55 | -89 | -139 | -275 | -445 | -695 | -979 | -1,529 | -2,225 | -3,475 | -4,895 | -7,645 | -12,371 | -24,475 | -38,225 | -61,855 | -136,081 | -309,275 | -680,405 | -3,402,025 |
Here are some more numbers to try:
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