A:
Positive:
1 x 250255 x 50057 x 357511 x 227513 x 192525 x 100135 x 71555 x 45565 x 38577 x 32591 x 275143 x 175
Negative:
-1 x -25025-5 x -5005-7 x -3575-11 x -2275-13 x -1925-25 x -1001-35 x -715-55 x -455-65 x -385-77 x -325-91 x -275-143 x -175
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 25,025, 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 | 25,025 | |
| -1 | -25,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,025.
Example:
1 x 25,025 = 25,025
and
-1 x -25,025 = 25,025
Notice both answers equal 25,025
With that explanation out of the way, let's continue. Next, we take the number 25,025 and divide it by 2:
25,025 ÷ 2 = 12,512.5
If the quotient is a whole number, then 2 and 12,512.5 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 | 25,025 | |
| -1 | -25,025 |
Now, we try dividing 25,025 by 3:
25,025 ÷ 3 = 8,341.6667
If the quotient is a whole number, then 3 and 8,341.6667 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 | 25,025 | |
| -1 | -25,025 |
Let's try dividing by 4:
25,025 ÷ 4 = 6,256.25
If the quotient is a whole number, then 4 and 6,256.25 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 | 25,025 | |
| -1 | 25,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 13 | 25 | 35 | 55 | 65 | 77 | 91 | 143 | 175 | 275 | 325 | 385 | 455 | 715 | 1,001 | 1,925 | 2,275 | 3,575 | 5,005 | 25,025 |
| -1 | -5 | -7 | -11 | -13 | -25 | -35 | -55 | -65 | -77 | -91 | -143 | -175 | -275 | -325 | -385 | -455 | -715 | -1,001 | -1,925 | -2,275 | -3,575 | -5,005 | -25,025 |
Here are some more numbers to try:
Try the factor calculator