Q: What are the factor combinations of the number 245,899?

 A:
Positive:   1 x 245899
Negative: -1 x -245899


How do I find the factor combinations of the number 245,899?

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 245,899, 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.

1 245,899
-1 -245,899

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 245,899.

Example:
1 x 245,899 = 245,899
and
-1 x -245,899 = 245,899
Notice both answers equal 245,899

With that explanation out of the way, let's continue. Next, we take the number 245,899 and divide it by 2:

245,899 ÷ 2 = 122,949.5

If the quotient is a whole number, then 2 and 122,949.5 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:

1 245,899
-1 -245,899

Now, we try dividing 245,899 by 3:

245,899 ÷ 3 = 81,966.3333

If the quotient is a whole number, then 3 and 81,966.3333 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:

1 245,899
-1 -245,899

Let's try dividing by 4:

245,899 ÷ 4 = 61,474.75

If the quotient is a whole number, then 4 and 61,474.75 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:

1 245,899
-1 245,899
Keep dividing by the next highest number until you cannot divide anymore.

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

1245,899
-1-245,899

More Examples

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