A:
Positive:
1 x 365755 x 73157 x 522511 x 332519 x 192525 x 146335 x 104555 x 66577 x 47595 x 385133 x 275175 x 209
Negative:
-1 x -36575-5 x -7315-7 x -5225-11 x -3325-19 x -1925-25 x -1463-35 x -1045-55 x -665-77 x -475-95 x -385-133 x -275-175 x -209
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 36,575, 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 | 36,575 | |
| -1 | -36,575 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,575.
Example:
1 x 36,575 = 36,575
and
-1 x -36,575 = 36,575
Notice both answers equal 36,575
With that explanation out of the way, let's continue. Next, we take the number 36,575 and divide it by 2:
36,575 ÷ 2 = 18,287.5
If the quotient is a whole number, then 2 and 18,287.5 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 | 36,575 | |
| -1 | -36,575 |
Now, we try dividing 36,575 by 3:
36,575 ÷ 3 = 12,191.6667
If the quotient is a whole number, then 3 and 12,191.6667 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 | 36,575 | |
| -1 | -36,575 |
Let's try dividing by 4:
36,575 ÷ 4 = 9,143.75
If the quotient is a whole number, then 4 and 9,143.75 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 | 36,575 | |
| -1 | 36,575 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 19 | 25 | 35 | 55 | 77 | 95 | 133 | 175 | 209 | 275 | 385 | 475 | 665 | 1,045 | 1,463 | 1,925 | 3,325 | 5,225 | 7,315 | 36,575 |
| -1 | -5 | -7 | -11 | -19 | -25 | -35 | -55 | -77 | -95 | -133 | -175 | -209 | -275 | -385 | -475 | -665 | -1,045 | -1,463 | -1,925 | -3,325 | -5,225 | -7,315 | -36,575 |
Here are some more numbers to try:
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