Q: What are the factor combinations of the number 252,245?

 A:
Positive:   1 x 2522455 x 504497 x 3603535 x 7207
Negative: -1 x -252245-5 x -50449-7 x -36035-35 x -7207


How do I find the factor combinations of the number 252,245?

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 252,245, 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.

1 252,245
-1 -252,245

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 252,245.

Example:
1 x 252,245 = 252,245
and
-1 x -252,245 = 252,245
Notice both answers equal 252,245

With that explanation out of the way, let's continue. Next, we take the number 252,245 and divide it by 2:

252,245 ÷ 2 = 126,122.5

If the quotient is a whole number, then 2 and 126,122.5 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:

1 252,245
-1 -252,245

Now, we try dividing 252,245 by 3:

252,245 ÷ 3 = 84,081.6667

If the quotient is a whole number, then 3 and 84,081.6667 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:

1 252,245
-1 -252,245

Let's try dividing by 4:

252,245 ÷ 4 = 63,061.25

If the quotient is a whole number, then 4 and 63,061.25 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:

1 252,245
-1 252,245
Keep dividing by the next highest number until you cannot divide anymore.

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

157357,20736,03550,449252,245
-1-5-7-35-7,207-36,035-50,449-252,245

More Examples

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