Q: What are the factor combinations of the number 250,034,309?

 A:
Positive:   1 x 2500343097 x 3571918749 x 5102741113 x 2212693343 x 728963791 x 3160995537 x 451576451 x 38759
Negative: -1 x -250034309-7 x -35719187-49 x -5102741-113 x -2212693-343 x -728963-791 x -316099-5537 x -45157-6451 x -38759


How do I find the factor combinations of the number 250,034,309?

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 250,034,309, 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.

1 250,034,309
-1 -250,034,309

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 250,034,309.

Example:
1 x 250,034,309 = 250,034,309
and
-1 x -250,034,309 = 250,034,309
Notice both answers equal 250,034,309

With that explanation out of the way, let's continue. Next, we take the number 250,034,309 and divide it by 2:

250,034,309 ÷ 2 = 125,017,154.5

If the quotient is a whole number, then 2 and 125,017,154.5 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:

1 250,034,309
-1 -250,034,309

Now, we try dividing 250,034,309 by 3:

250,034,309 ÷ 3 = 83,344,769.6667

If the quotient is a whole number, then 3 and 83,344,769.6667 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:

1 250,034,309
-1 -250,034,309

Let's try dividing by 4:

250,034,309 ÷ 4 = 62,508,577.25

If the quotient is a whole number, then 4 and 62,508,577.25 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:

1 250,034,309
-1 250,034,309
Keep dividing by the next highest number until you cannot divide anymore.

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

17491133437915,5376,45138,75945,157316,099728,9632,212,6935,102,74135,719,187250,034,309
-1-7-49-113-343-791-5,537-6,451-38,759-45,157-316,099-728,963-2,212,693-5,102,741-35,719,187-250,034,309

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