Q: What are the factor combinations of the number 250,260,005?

 A:
Positive:   1 x 2502600055 x 5005200159 x 4241695281 x 890605295 x 8483391405 x 1781213019 x 8289515095 x 16579
Negative: -1 x -250260005-5 x -50052001-59 x -4241695-281 x -890605-295 x -848339-1405 x -178121-3019 x -82895-15095 x -16579


How do I find the factor combinations of the number 250,260,005?

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 250,260,005, 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.

1 250,260,005
-1 -250,260,005

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 250,260,005.

Example:
1 x 250,260,005 = 250,260,005
and
-1 x -250,260,005 = 250,260,005
Notice both answers equal 250,260,005

With that explanation out of the way, let's continue. Next, we take the number 250,260,005 and divide it by 2:

250,260,005 ÷ 2 = 125,130,002.5

If the quotient is a whole number, then 2 and 125,130,002.5 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:

1 250,260,005
-1 -250,260,005

Now, we try dividing 250,260,005 by 3:

250,260,005 ÷ 3 = 83,420,001.6667

If the quotient is a whole number, then 3 and 83,420,001.6667 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:

1 250,260,005
-1 -250,260,005

Let's try dividing by 4:

250,260,005 ÷ 4 = 62,565,001.25

If the quotient is a whole number, then 4 and 62,565,001.25 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:

1 250,260,005
-1 250,260,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15592812951,4053,01915,09516,57982,895178,121848,339890,6054,241,69550,052,001250,260,005
-1-5-59-281-295-1,405-3,019-15,095-16,579-82,895-178,121-848,339-890,605-4,241,695-50,052,001-250,260,005

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