Q: What are the factor combinations of the number 244,031,665?

 A:
Positive:   1 x 2440316655 x 4880633329 x 841488543 x 5675155145 x 1682977215 x 11350311247 x 1956956235 x 39139
Negative: -1 x -244031665-5 x -48806333-29 x -8414885-43 x -5675155-145 x -1682977-215 x -1135031-1247 x -195695-6235 x -39139


How do I find the factor combinations of the number 244,031,665?

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 244,031,665, 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.

1 244,031,665
-1 -244,031,665

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 244,031,665.

Example:
1 x 244,031,665 = 244,031,665
and
-1 x -244,031,665 = 244,031,665
Notice both answers equal 244,031,665

With that explanation out of the way, let's continue. Next, we take the number 244,031,665 and divide it by 2:

244,031,665 ÷ 2 = 122,015,832.5

If the quotient is a whole number, then 2 and 122,015,832.5 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:

1 244,031,665
-1 -244,031,665

Now, we try dividing 244,031,665 by 3:

244,031,665 ÷ 3 = 81,343,888.3333

If the quotient is a whole number, then 3 and 81,343,888.3333 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:

1 244,031,665
-1 -244,031,665

Let's try dividing by 4:

244,031,665 ÷ 4 = 61,007,916.25

If the quotient is a whole number, then 4 and 61,007,916.25 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:

1 244,031,665
-1 244,031,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1529431452151,2476,23539,139195,6951,135,0311,682,9775,675,1558,414,88548,806,333244,031,665
-1-5-29-43-145-215-1,247-6,235-39,139-195,695-1,135,031-1,682,977-5,675,155-8,414,885-48,806,333-244,031,665

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