A:
Positive:
1 x 2531755 x 5063513 x 1947519 x 1332525 x 1012741 x 617565 x 389595 x 2665205 x 1235247 x 1025325 x 779475 x 533
Negative:
-1 x -253175-5 x -50635-13 x -19475-19 x -13325-25 x -10127-41 x -6175-65 x -3895-95 x -2665-205 x -1235-247 x -1025-325 x -779-475 x -533
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 253,175, 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 | 253,175 | |
| -1 | -253,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 253,175.
Example:
1 x 253,175 = 253,175
and
-1 x -253,175 = 253,175
Notice both answers equal 253,175
With that explanation out of the way, let's continue. Next, we take the number 253,175 and divide it by 2:
253,175 ÷ 2 = 126,587.5
If the quotient is a whole number, then 2 and 126,587.5 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 | 253,175 | |
| -1 | -253,175 |
Now, we try dividing 253,175 by 3:
253,175 ÷ 3 = 84,391.6667
If the quotient is a whole number, then 3 and 84,391.6667 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 | 253,175 | |
| -1 | -253,175 |
Let's try dividing by 4:
253,175 ÷ 4 = 63,293.75
If the quotient is a whole number, then 4 and 63,293.75 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 | 253,175 | |
| -1 | 253,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 19 | 25 | 41 | 65 | 95 | 205 | 247 | 325 | 475 | 533 | 779 | 1,025 | 1,235 | 2,665 | 3,895 | 6,175 | 10,127 | 13,325 | 19,475 | 50,635 | 253,175 |
| -1 | -5 | -13 | -19 | -25 | -41 | -65 | -95 | -205 | -247 | -325 | -475 | -533 | -779 | -1,025 | -1,235 | -2,665 | -3,895 | -6,175 | -10,127 | -13,325 | -19,475 | -50,635 | -253,175 |
Here are some more numbers to try:
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