Q: What are the factor combinations of the number 244,021,033?

 A:
Positive:   1 x 244021033139 x 17555471109 x 2200371583 x 154151
Negative: -1 x -244021033-139 x -1755547-1109 x -220037-1583 x -154151


How do I find the factor combinations of the number 244,021,033?

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 244,021,033, 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.

1 244,021,033
-1 -244,021,033

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 244,021,033.

Example:
1 x 244,021,033 = 244,021,033
and
-1 x -244,021,033 = 244,021,033
Notice both answers equal 244,021,033

With that explanation out of the way, let's continue. Next, we take the number 244,021,033 and divide it by 2:

244,021,033 ÷ 2 = 122,010,516.5

If the quotient is a whole number, then 2 and 122,010,516.5 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:

1 244,021,033
-1 -244,021,033

Now, we try dividing 244,021,033 by 3:

244,021,033 ÷ 3 = 81,340,344.3333

If the quotient is a whole number, then 3 and 81,340,344.3333 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:

1 244,021,033
-1 -244,021,033

Let's try dividing by 4:

244,021,033 ÷ 4 = 61,005,258.25

If the quotient is a whole number, then 4 and 61,005,258.25 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:

1 244,021,033
-1 244,021,033
Keep dividing by the next highest number until you cannot divide anymore.

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

11391,1091,583154,151220,0371,755,547244,021,033
-1-139-1,109-1,583-154,151-220,037-1,755,547-244,021,033

More Examples

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