A:
Positive:
1 x 6532255 x 13064517 x 3842525 x 2612929 x 2252553 x 1232585 x 7685145 x 4505265 x 2465425 x 1537493 x 1325725 x 901
Negative:
-1 x -653225-5 x -130645-17 x -38425-25 x -26129-29 x -22525-53 x -12325-85 x -7685-145 x -4505-265 x -2465-425 x -1537-493 x -1325-725 x -901
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 653,225, 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 | 653,225 | |
| -1 | -653,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 653,225.
Example:
1 x 653,225 = 653,225
and
-1 x -653,225 = 653,225
Notice both answers equal 653,225
With that explanation out of the way, let's continue. Next, we take the number 653,225 and divide it by 2:
653,225 ÷ 2 = 326,612.5
If the quotient is a whole number, then 2 and 326,612.5 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 | 653,225 | |
| -1 | -653,225 |
Now, we try dividing 653,225 by 3:
653,225 ÷ 3 = 217,741.6667
If the quotient is a whole number, then 3 and 217,741.6667 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 | 653,225 | |
| -1 | -653,225 |
Let's try dividing by 4:
653,225 ÷ 4 = 163,306.25
If the quotient is a whole number, then 4 and 163,306.25 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 | 653,225 | |
| -1 | 653,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 29 | 53 | 85 | 145 | 265 | 425 | 493 | 725 | 901 | 1,325 | 1,537 | 2,465 | 4,505 | 7,685 | 12,325 | 22,525 | 26,129 | 38,425 | 130,645 | 653,225 |
| -1 | -5 | -17 | -25 | -29 | -53 | -85 | -145 | -265 | -425 | -493 | -725 | -901 | -1,325 | -1,537 | -2,465 | -4,505 | -7,685 | -12,325 | -22,525 | -26,129 | -38,425 | -130,645 | -653,225 |
Here are some more numbers to try:
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