Q: What are the factor combinations of the number 57,575?

 A:
Positive:   1 x 575755 x 115157 x 822525 x 230335 x 164547 x 122549 x 1175175 x 329235 x 245
Negative: -1 x -57575-5 x -11515-7 x -8225-25 x -2303-35 x -1645-47 x -1225-49 x -1175-175 x -329-235 x -245


How do I find the factor combinations of the number 57,575?

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 57,575, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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 57,575
-1 -57,575

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 57,575.

Example:
1 x 57,575 = 57,575
and
-1 x -57,575 = 57,575
Notice both answers equal 57,575

With that explanation out of the way, let's continue. Next, we take the number 57,575 and divide it by 2:

57,575 ÷ 2 = 28,787.5

If the quotient is a whole number, then 2 and 28,787.5 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 57,575
-1 -57,575

Now, we try dividing 57,575 by 3:

57,575 ÷ 3 = 19,191.6667

If the quotient is a whole number, then 3 and 19,191.6667 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 57,575
-1 -57,575

Let's try dividing by 4:

57,575 ÷ 4 = 14,393.75

If the quotient is a whole number, then 4 and 14,393.75 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 57,575
-1 57,575
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

157253547491752352453291,1751,2251,6452,3038,22511,51557,575
-1-5-7-25-35-47-49-175-235-245-329-1,175-1,225-1,645-2,303-8,225-11,515-57,575

More Examples

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