Q: What are the factor combinations of the number 252,875?

 A:
Positive:   1 x 2528755 x 505757 x 3612517 x 1487525 x 1011535 x 722585 x 2975119 x 2125125 x 2023175 x 1445289 x 875425 x 595
Negative: -1 x -252875-5 x -50575-7 x -36125-17 x -14875-25 x -10115-35 x -7225-85 x -2975-119 x -2125-125 x -2023-175 x -1445-289 x -875-425 x -595


How do I find the factor combinations of the number 252,875?

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 252,875, 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.

1 252,875
-1 -252,875

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 252,875.

Example:
1 x 252,875 = 252,875
and
-1 x -252,875 = 252,875
Notice both answers equal 252,875

With that explanation out of the way, let's continue. Next, we take the number 252,875 and divide it by 2:

252,875 ÷ 2 = 126,437.5

If the quotient is a whole number, then 2 and 126,437.5 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:

1 252,875
-1 -252,875

Now, we try dividing 252,875 by 3:

252,875 ÷ 3 = 84,291.6667

If the quotient is a whole number, then 3 and 84,291.6667 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:

1 252,875
-1 -252,875

Let's try dividing by 4:

252,875 ÷ 4 = 63,218.75

If the quotient is a whole number, then 4 and 63,218.75 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:

1 252,875
-1 252,875
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191251752894255958751,4452,0232,1252,9757,22510,11514,87536,12550,575252,875
-1-5-7-17-25-35-85-119-125-175-289-425-595-875-1,445-2,023-2,125-2,975-7,225-10,115-14,875-36,125-50,575-252,875

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