Q: What are the factor combinations of the number 244,420,025?

 A:
Positive:   1 x 2444200255 x 4888400525 x 9776801179 x 1365475193 x 1266425283 x 863675895 x 273095965 x 2532851415 x 1727354475 x 546194825 x 506577075 x 34547
Negative: -1 x -244420025-5 x -48884005-25 x -9776801-179 x -1365475-193 x -1266425-283 x -863675-895 x -273095-965 x -253285-1415 x -172735-4475 x -54619-4825 x -50657-7075 x -34547


How do I find the factor combinations of the number 244,420,025?

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 244,420,025, 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.

1 244,420,025
-1 -244,420,025

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 244,420,025.

Example:
1 x 244,420,025 = 244,420,025
and
-1 x -244,420,025 = 244,420,025
Notice both answers equal 244,420,025

With that explanation out of the way, let's continue. Next, we take the number 244,420,025 and divide it by 2:

244,420,025 ÷ 2 = 122,210,012.5

If the quotient is a whole number, then 2 and 122,210,012.5 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:

1 244,420,025
-1 -244,420,025

Now, we try dividing 244,420,025 by 3:

244,420,025 ÷ 3 = 81,473,341.6667

If the quotient is a whole number, then 3 and 81,473,341.6667 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:

1 244,420,025
-1 -244,420,025

Let's try dividing by 4:

244,420,025 ÷ 4 = 61,105,006.25

If the quotient is a whole number, then 4 and 61,105,006.25 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:

1 244,420,025
-1 244,420,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15251791932838959651,4154,4754,8257,07534,54750,65754,619172,735253,285273,095863,6751,266,4251,365,4759,776,80148,884,005244,420,025
-1-5-25-179-193-283-895-965-1,415-4,475-4,825-7,075-34,547-50,657-54,619-172,735-253,285-273,095-863,675-1,266,425-1,365,475-9,776,801-48,884,005-244,420,025

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