Q: What are the factor combinations of the number 244,021,243?

 A:
Positive:   1 x 24402124331 x 7871653109 x 2238727257 x 949499281 x 8684033379 x 722177967 x 306298711 x 28013
Negative: -1 x -244021243-31 x -7871653-109 x -2238727-257 x -949499-281 x -868403-3379 x -72217-7967 x -30629-8711 x -28013


How do I find the factor combinations of the number 244,021,243?

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 244,021,243, 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.

1 244,021,243
-1 -244,021,243

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 244,021,243.

Example:
1 x 244,021,243 = 244,021,243
and
-1 x -244,021,243 = 244,021,243
Notice both answers equal 244,021,243

With that explanation out of the way, let's continue. Next, we take the number 244,021,243 and divide it by 2:

244,021,243 ÷ 2 = 122,010,621.5

If the quotient is a whole number, then 2 and 122,010,621.5 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:

1 244,021,243
-1 -244,021,243

Now, we try dividing 244,021,243 by 3:

244,021,243 ÷ 3 = 81,340,414.3333

If the quotient is a whole number, then 3 and 81,340,414.3333 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:

1 244,021,243
-1 -244,021,243

Let's try dividing by 4:

244,021,243 ÷ 4 = 61,005,310.75

If the quotient is a whole number, then 4 and 61,005,310.75 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:

1 244,021,243
-1 244,021,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1311092572813,3797,9678,71128,01330,62972,217868,403949,4992,238,7277,871,653244,021,243
-1-31-109-257-281-3,379-7,967-8,711-28,013-30,629-72,217-868,403-949,499-2,238,727-7,871,653-244,021,243

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