A:
Positive:
1 x 350355 x 70077 x 500511 x 318513 x 269535 x 100149 x 71555 x 63765 x 53977 x 45591 x 385143 x 245
Negative:
-1 x -35035-5 x -7007-7 x -5005-11 x -3185-13 x -2695-35 x -1001-49 x -715-55 x -637-65 x -539-77 x -455-91 x -385-143 x -245
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 35,035, 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 | 35,035 | |
| -1 | -35,035 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,035.
Example:
1 x 35,035 = 35,035
and
-1 x -35,035 = 35,035
Notice both answers equal 35,035
With that explanation out of the way, let's continue. Next, we take the number 35,035 and divide it by 2:
35,035 ÷ 2 = 17,517.5
If the quotient is a whole number, then 2 and 17,517.5 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 | 35,035 | |
| -1 | -35,035 |
Now, we try dividing 35,035 by 3:
35,035 ÷ 3 = 11,678.3333
If the quotient is a whole number, then 3 and 11,678.3333 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 | 35,035 | |
| -1 | -35,035 |
Let's try dividing by 4:
35,035 ÷ 4 = 8,758.75
If the quotient is a whole number, then 4 and 8,758.75 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 | 35,035 | |
| -1 | 35,035 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 13 | 35 | 49 | 55 | 65 | 77 | 91 | 143 | 245 | 385 | 455 | 539 | 637 | 715 | 1,001 | 2,695 | 3,185 | 5,005 | 7,007 | 35,035 |
| -1 | -5 | -7 | -11 | -13 | -35 | -49 | -55 | -65 | -77 | -91 | -143 | -245 | -385 | -455 | -539 | -637 | -715 | -1,001 | -2,695 | -3,185 | -5,005 | -7,007 | -35,035 |
Here are some more numbers to try:
Try the factor calculator